Integrals 5301 to 5400

Maxima [F(-2)]

Exception generated. \[ \int x^2 \left (c+a^2 c x^2\right )^{3/2} \arctan (a x)^{5/2} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x^2*(a^2*c*x^2+c)^(3/2)*arctan(a*x)^(5/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(884\)

Maxima [F(-2)]

Exception generated. \[ \int x \left (c+a^2 c x^2\right )^{3/2} \arctan (a x)^{5/2} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x*(a^2*c*x^2+c)^(3/2)*arctan(a*x)^(5/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(885\)

Maxima [F(-2)]

Exception generated. \[ \int \left (c+a^2 c x^2\right )^{3/2} \arctan (a x)^{5/2} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((a^2*c*x^2+c)^(3/2)*arctan(a*x)^(5/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(886\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\left (c+a^2 c x^2\right )^{3/2} \arctan (a x)^{5/2}}{x} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((a^2*c*x^2+c)^(3/2)*arctan(a*x)^(5/2)/x,x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(887\)

Maxima [F(-2)]

Exception generated. \[ \int x^m \left (c+a^2 c x^2\right )^{5/2} \arctan (a x)^{5/2} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x^m*(a^2*c*x^2+c)^(5/2)*arctan(a*x)^(5/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(888\)

Maxima [F(-2)]

Exception generated. \[ \int x^2 \left (c+a^2 c x^2\right )^{5/2} \arctan (a x)^{5/2} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x^2*(a^2*c*x^2+c)^(5/2)*arctan(a*x)^(5/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(889\)

Maxima [F(-2)]

Exception generated. \[ \int x \left (c+a^2 c x^2\right )^{5/2} \arctan (a x)^{5/2} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x*(a^2*c*x^2+c)^(5/2)*arctan(a*x)^(5/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(890\)

Maxima [F(-2)]

Exception generated. \[ \int \left (c+a^2 c x^2\right )^{5/2} \arctan (a x)^{5/2} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((a^2*c*x^2+c)^(5/2)*arctan(a*x)^(5/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(891\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\left (c+a^2 c x^2\right )^{5/2} \arctan (a x)^{5/2}}{x} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((a^2*c*x^2+c)^(5/2)*arctan(a*x)^(5/2)/x,x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(892\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^m \arctan (a x)^{5/2}}{\sqrt {c+a^2 c x^2}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x^m*arctan(a*x)^(5/2)/(a^2*c*x^2+c)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(893\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^3 \arctan (a x)^{5/2}}{\sqrt {c+a^2 c x^2}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x^3*arctan(a*x)^(5/2)/(a^2*c*x^2+c)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(894\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^2 \arctan (a x)^{5/2}}{\sqrt {c+a^2 c x^2}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x^2*arctan(a*x)^(5/2)/(a^2*c*x^2+c)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(895\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x \arctan (a x)^{5/2}}{\sqrt {c+a^2 c x^2}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x*arctan(a*x)^(5/2)/(a^2*c*x^2+c)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(896\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\arctan (a x)^{5/2}}{\sqrt {c+a^2 c x^2}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(arctan(a*x)^(5/2)/(a^2*c*x^2+c)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(897\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\arctan (a x)^{5/2}}{x \sqrt {c+a^2 c x^2}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(arctan(a*x)^(5/2)/x/(a^2*c*x^2+c)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(898\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\arctan (a x)^{5/2}}{x^2 \sqrt {c+a^2 c x^2}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(arctan(a*x)^(5/2)/x^2/(a^2*c*x^2+c)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(899\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\arctan (a x)^{5/2}}{x^3 \sqrt {c+a^2 c x^2}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(arctan(a*x)^(5/2)/x^3/(a^2*c*x^2+c)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(900\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\arctan (a x)^{5/2}}{x^4 \sqrt {c+a^2 c x^2}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(arctan(a*x)^(5/2)/x^4/(a^2*c*x^2+c)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(901\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^m \arctan (a x)^{5/2}}{\left (c+a^2 c x^2\right )^{3/2}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x^m*arctan(a*x)^(5/2)/(a^2*c*x^2+c)^(3/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(902\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^2 \arctan (a x)^{5/2}}{\left (c+a^2 c x^2\right )^{3/2}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x^2*arctan(a*x)^(5/2)/(a^2*c*x^2+c)^(3/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(903\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x \arctan (a x)^{5/2}}{\left (c+a^2 c x^2\right )^{3/2}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x*arctan(a*x)^(5/2)/(a^2*c*x^2+c)^(3/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(904\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\arctan (a x)^{5/2}}{\left (c+a^2 c x^2\right )^{3/2}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(arctan(a*x)^(5/2)/(a^2*c*x^2+c)^(3/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(905\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\arctan (a x)^{5/2}}{x \left (c+a^2 c x^2\right )^{3/2}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(arctan(a*x)^(5/2)/x/(a^2*c*x^2+c)^(3/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(906\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^m \arctan (a x)^{5/2}}{\left (c+a^2 c x^2\right )^{5/2}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x^m*arctan(a*x)^(5/2)/(a^2*c*x^2+c)^(5/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(907\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^4 \arctan (a x)^{5/2}}{\left (c+a^2 c x^2\right )^{5/2}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x^4*arctan(a*x)^(5/2)/(a^2*c*x^2+c)^(5/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(908\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^3 \arctan (a x)^{5/2}}{\left (c+a^2 c x^2\right )^{5/2}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x^3*arctan(a*x)^(5/2)/(a^2*c*x^2+c)^(5/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(909\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^2 \arctan (a x)^{5/2}}{\left (c+a^2 c x^2\right )^{5/2}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x^2*arctan(a*x)^(5/2)/(a^2*c*x^2+c)^(5/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(910\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x \arctan (a x)^{5/2}}{\left (c+a^2 c x^2\right )^{5/2}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x*arctan(a*x)^(5/2)/(a^2*c*x^2+c)^(5/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(911\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\arctan (a x)^{5/2}}{\left (c+a^2 c x^2\right )^{5/2}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(arctan(a*x)^(5/2)/(a^2*c*x^2+c)^(5/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(912\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\arctan (a x)^{5/2}}{x \left (c+a^2 c x^2\right )^{5/2}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(arctan(a*x)^(5/2)/x/(a^2*c*x^2+c)^(5/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(913\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^m \left (c+a^2 c x^2\right )}{\sqrt {\arctan (a x)}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x^m*(a^2*c*x^2+c)/arctan(a*x)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(914\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x \left (c+a^2 c x^2\right )}{\sqrt {\arctan (a x)}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x*(a^2*c*x^2+c)/arctan(a*x)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(915\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {c+a^2 c x^2}{\sqrt {\arctan (a x)}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((a^2*c*x^2+c)/arctan(a*x)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(916\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {c+a^2 c x^2}{x \sqrt {\arctan (a x)}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((a^2*c*x^2+c)/x/arctan(a*x)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(917\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^m \left (c+a^2 c x^2\right )^2}{\sqrt {\arctan (a x)}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x^m*(a^2*c*x^2+c)^2/arctan(a*x)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(918\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x \left (c+a^2 c x^2\right )^2}{\sqrt {\arctan (a x)}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x*(a^2*c*x^2+c)^2/arctan(a*x)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(919\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\left (c+a^2 c x^2\right )^2}{\sqrt {\arctan (a x)}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((a^2*c*x^2+c)^2/arctan(a*x)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(920\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\left (c+a^2 c x^2\right )^2}{x \sqrt {\arctan (a x)}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((a^2*c*x^2+c)^2/x/arctan(a*x)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(921\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^m \left (c+a^2 c x^2\right )^3}{\sqrt {\arctan (a x)}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x^m*(a^2*c*x^2+c)^3/arctan(a*x)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(922\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x \left (c+a^2 c x^2\right )^3}{\sqrt {\arctan (a x)}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x*(a^2*c*x^2+c)^3/arctan(a*x)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(923\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\left (c+a^2 c x^2\right )^3}{\sqrt {\arctan (a x)}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((a^2*c*x^2+c)^3/arctan(a*x)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(924\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\left (c+a^2 c x^2\right )^3}{x \sqrt {\arctan (a x)}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((a^2*c*x^2+c)^3/x/arctan(a*x)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(925\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^m}{\left (c+a^2 c x^2\right ) \sqrt {\arctan (a x)}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x^m/(a^2*c*x^2+c)/arctan(a*x)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(926\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x}{\left (c+a^2 c x^2\right ) \sqrt {\arctan (a x)}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x/(a^2*c*x^2+c)/arctan(a*x)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(927\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{\left (c+a^2 c x^2\right ) \sqrt {\arctan (a x)}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(1/(a^2*c*x^2+c)/arctan(a*x)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(928\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{x \left (c+a^2 c x^2\right ) \sqrt {\arctan (a x)}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(1/x/(a^2*c*x^2+c)/arctan(a*x)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(929\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^m}{\left (c+a^2 c x^2\right )^2 \sqrt {\arctan (a x)}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x^m/(a^2*c*x^2+c)^2/arctan(a*x)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(930\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^3}{\left (c+a^2 c x^2\right )^2 \sqrt {\arctan (a x)}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x^3/(a^2*c*x^2+c)^2/arctan(a*x)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(931\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^2}{\left (c+a^2 c x^2\right )^2 \sqrt {\arctan (a x)}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x^2/(a^2*c*x^2+c)^2/arctan(a*x)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(932\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x}{\left (c+a^2 c x^2\right )^2 \sqrt {\arctan (a x)}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x/(a^2*c*x^2+c)^2/arctan(a*x)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(933\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{\left (c+a^2 c x^2\right )^2 \sqrt {\arctan (a x)}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(1/(a^2*c*x^2+c)^2/arctan(a*x)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(934\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{x \left (c+a^2 c x^2\right )^2 \sqrt {\arctan (a x)}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(1/x/(a^2*c*x^2+c)^2/arctan(a*x)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(935\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^m}{\left (c+a^2 c x^2\right )^3 \sqrt {\arctan (a x)}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x^m/(a^2*c*x^2+c)^3/arctan(a*x)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(936\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^5}{\left (c+a^2 c x^2\right )^3 \sqrt {\arctan (a x)}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x^5/(a^2*c*x^2+c)^3/arctan(a*x)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(937\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^4}{\left (c+a^2 c x^2\right )^3 \sqrt {\arctan (a x)}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x^4/(a^2*c*x^2+c)^3/arctan(a*x)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(938\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^3}{\left (c+a^2 c x^2\right )^3 \sqrt {\arctan (a x)}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x^3/(a^2*c*x^2+c)^3/arctan(a*x)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(939\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^2}{\left (c+a^2 c x^2\right )^3 \sqrt {\arctan (a x)}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x^2/(a^2*c*x^2+c)^3/arctan(a*x)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(940\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x}{\left (c+a^2 c x^2\right )^3 \sqrt {\arctan (a x)}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x/(a^2*c*x^2+c)^3/arctan(a*x)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(941\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{\left (c+a^2 c x^2\right )^3 \sqrt {\arctan (a x)}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(1/(a^2*c*x^2+c)^3/arctan(a*x)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(942\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{x \left (c+a^2 c x^2\right )^3 \sqrt {\arctan (a x)}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(1/x/(a^2*c*x^2+c)^3/arctan(a*x)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(943\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^m \sqrt {c+a^2 c x^2}}{\sqrt {\arctan (a x)}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x^m*(a^2*c*x^2+c)^(1/2)/arctan(a*x)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(944\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x \sqrt {c+a^2 c x^2}}{\sqrt {\arctan (a x)}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x*(a^2*c*x^2+c)^(1/2)/arctan(a*x)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(945\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\sqrt {c+a^2 c x^2}}{\sqrt {\arctan (a x)}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((a^2*c*x^2+c)^(1/2)/arctan(a*x)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(946\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\sqrt {c+a^2 c x^2}}{x \sqrt {\arctan (a x)}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((a^2*c*x^2+c)^(1/2)/x/arctan(a*x)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(947\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^m \left (c+a^2 c x^2\right )^{3/2}}{\sqrt {\arctan (a x)}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x^m*(a^2*c*x^2+c)^(3/2)/arctan(a*x)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(948\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x \left (c+a^2 c x^2\right )^{3/2}}{\sqrt {\arctan (a x)}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x*(a^2*c*x^2+c)^(3/2)/arctan(a*x)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(949\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\left (c+a^2 c x^2\right )^{3/2}}{\sqrt {\arctan (a x)}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((a^2*c*x^2+c)^(3/2)/arctan(a*x)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(950\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\left (c+a^2 c x^2\right )^{3/2}}{x \sqrt {\arctan (a x)}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((a^2*c*x^2+c)^(3/2)/x/arctan(a*x)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(951\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^m \left (c+a^2 c x^2\right )^{5/2}}{\sqrt {\arctan (a x)}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x^m*(a^2*c*x^2+c)^(5/2)/arctan(a*x)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(952\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x \left (c+a^2 c x^2\right )^{5/2}}{\sqrt {\arctan (a x)}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x*(a^2*c*x^2+c)^(5/2)/arctan(a*x)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(953\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\left (c+a^2 c x^2\right )^{5/2}}{\sqrt {\arctan (a x)}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((a^2*c*x^2+c)^(5/2)/arctan(a*x)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(954\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\left (c+a^2 c x^2\right )^{5/2}}{x \sqrt {\arctan (a x)}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((a^2*c*x^2+c)^(5/2)/x/arctan(a*x)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(955\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^m}{\sqrt {c+a^2 c x^2} \sqrt {\arctan (a x)}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x^m/(a^2*c*x^2+c)^(1/2)/arctan(a*x)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(956\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x}{\sqrt {c+a^2 c x^2} \sqrt {\arctan (a x)}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x/(a^2*c*x^2+c)^(1/2)/arctan(a*x)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(957\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{\sqrt {c+a^2 c x^2} \sqrt {\arctan (a x)}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(1/(a^2*c*x^2+c)^(1/2)/arctan(a*x)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(958\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{x \sqrt {c+a^2 c x^2} \sqrt {\arctan (a x)}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(1/x/(a^2*c*x^2+c)^(1/2)/arctan(a*x)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(959\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^m}{\left (c+a^2 c x^2\right )^{3/2} \sqrt {\arctan (a x)}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x^m/(a^2*c*x^2+c)^(3/2)/arctan(a*x)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(960\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^2}{\left (c+a^2 c x^2\right )^{3/2} \sqrt {\arctan (a x)}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x^2/(a^2*c*x^2+c)^(3/2)/arctan(a*x)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(961\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x}{\left (c+a^2 c x^2\right )^{3/2} \sqrt {\arctan (a x)}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x/(a^2*c*x^2+c)^(3/2)/arctan(a*x)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(962\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{\left (c+a^2 c x^2\right )^{3/2} \sqrt {\arctan (a x)}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(1/(a^2*c*x^2+c)^(3/2)/arctan(a*x)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(963\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{x \left (c+a^2 c x^2\right )^{3/2} \sqrt {\arctan (a x)}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(1/x/(a^2*c*x^2+c)^(3/2)/arctan(a*x)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(964\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^m}{\left (c+a^2 c x^2\right )^{5/2} \sqrt {\arctan (a x)}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x^m/(a^2*c*x^2+c)^(5/2)/arctan(a*x)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(965\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^4}{\left (c+a^2 c x^2\right )^{5/2} \sqrt {\arctan (a x)}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x^4/(a^2*c*x^2+c)^(5/2)/arctan(a*x)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(966\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^3}{\left (c+a^2 c x^2\right )^{5/2} \sqrt {\arctan (a x)}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x^3/(a^2*c*x^2+c)^(5/2)/arctan(a*x)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(967\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^2}{\left (c+a^2 c x^2\right )^{5/2} \sqrt {\arctan (a x)}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x^2/(a^2*c*x^2+c)^(5/2)/arctan(a*x)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(968\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x}{\left (c+a^2 c x^2\right )^{5/2} \sqrt {\arctan (a x)}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x/(a^2*c*x^2+c)^(5/2)/arctan(a*x)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(969\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{\left (c+a^2 c x^2\right )^{5/2} \sqrt {\arctan (a x)}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(1/(a^2*c*x^2+c)^(5/2)/arctan(a*x)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(970\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{x \left (c+a^2 c x^2\right )^{5/2} \sqrt {\arctan (a x)}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(1/x/(a^2*c*x^2+c)^(5/2)/arctan(a*x)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(971\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^m \left (c+a^2 c x^2\right )}{\arctan (a x)^{3/2}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x^m*(a^2*c*x^2+c)/arctan(a*x)^(3/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(972\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x \left (c+a^2 c x^2\right )}{\arctan (a x)^{3/2}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x*(a^2*c*x^2+c)/arctan(a*x)^(3/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(973\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {c+a^2 c x^2}{\arctan (a x)^{3/2}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((a^2*c*x^2+c)/arctan(a*x)^(3/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(974\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {c+a^2 c x^2}{x \arctan (a x)^{3/2}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((a^2*c*x^2+c)/x/arctan(a*x)^(3/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(975\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^m \left (c+a^2 c x^2\right )^2}{\arctan (a x)^{3/2}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x^m*(a^2*c*x^2+c)^2/arctan(a*x)^(3/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(976\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x \left (c+a^2 c x^2\right )^2}{\arctan (a x)^{3/2}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x*(a^2*c*x^2+c)^2/arctan(a*x)^(3/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(977\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\left (c+a^2 c x^2\right )^2}{\arctan (a x)^{3/2}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((a^2*c*x^2+c)^2/arctan(a*x)^(3/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(978\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\left (c+a^2 c x^2\right )^2}{x \arctan (a x)^{3/2}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((a^2*c*x^2+c)^2/x/arctan(a*x)^(3/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(979\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^m \left (c+a^2 c x^2\right )^3}{\arctan (a x)^{3/2}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x^m*(a^2*c*x^2+c)^3/arctan(a*x)^(3/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(980\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x \left (c+a^2 c x^2\right )^3}{\arctan (a x)^{3/2}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x*(a^2*c*x^2+c)^3/arctan(a*x)^(3/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(981\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\left (c+a^2 c x^2\right )^3}{\arctan (a x)^{3/2}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((a^2*c*x^2+c)^3/arctan(a*x)^(3/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(982\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\left (c+a^2 c x^2\right )^3}{x \arctan (a x)^{3/2}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((a^2*c*x^2+c)^3/x/arctan(a*x)^(3/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(983\)