Integrals 501 to 600

Sympy [F(-2)]

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

[In]

integrate(x*atan(a*x)/(a**2*c*x**2+c)**(5/2),x)

[Out]

Exception raised: TypeError >> Invalid comparison of non-real zoo

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 \(244\)

Sympy [F(-2)]

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

[In]

integrate(atan(a*x)/x/(a**2*c*x**2+c)**(5/2),x)

[Out]

Exception raised: TypeError >> Invalid comparison of non-real zoo

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 \(246\)

Sympy [F(-2)]

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

[In]

integrate(x**m*(a**2*c*x**2+c)**(5/2)/atan(a*x)**2,x)

[Out]

Exception raised: HeuristicGCDFailed >> no luck

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 \(604\)

Sympy [F(-2)]

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

[In]

integrate(x**m*(a**2*c*x**2+c)**(5/2)/atan(a*x)**3,x)

[Out]

Exception raised: HeuristicGCDFailed >> no luck

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 \(680\)

Sympy [F(-2)]

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

[In]

integrate((a+b*atan(c*x))*(d+e*ln(c**2*x**2+1))/x**2,x)

[Out]

Exception raised: TypeError >> Invalid comparison of non-real zoo

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 \(1292\)

Sympy [F(-2)]

Exception generated. \[ \int \frac {(a+b \arctan (c x)) \left (d+e \log \left (1+c^2 x^2\right )\right )}{x^4} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a+b*atan(c*x))*(d+e*ln(c**2*x**2+1))/x**4,x)

[Out]

Exception raised: TypeError >> Invalid comparison of non-real zoo

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 \(1294\)

Sympy [F(-2)]

Exception generated. \[ \int \frac {(a+b \arctan (c x)) \left (d+e \log \left (1+c^2 x^2\right )\right )}{x^6} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a+b*atan(c*x))*(d+e*ln(c**2*x**2+1))/x**6,x)

[Out]

Exception raised: TypeError >> Invalid comparison of non-real zoo

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 \(1296\)

Sympy [F(-2)]

Exception generated. \[ \int x^2 \arctan (c+(1+i c) \tan (a+b x)) \, dx=\text {Exception raised: CoercionFailed} \]

[In]

integrate(x**2*atan(c+(1+I*c)*tan(b*x+a)),x)

[Out]

Exception raised: CoercionFailed >> Cannot convert _t0**2 + exp(2*I*a) of type <class 'sympy.core.add.Add'> to
QQ_I[x,b,_t0,exp(I*a)]

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.7_Inverse_tangent_functions.txt

Test file number \(153\)

Integral number in file \(52\)

Sympy [F(-2)]

Exception generated. \[ \int x \arctan (c+(1+i c) \tan (a+b x)) \, dx=\text {Exception raised: CoercionFailed} \]

[In]

integrate(x*atan(c+(1+I*c)*tan(b*x+a)),x)

[Out]

Exception raised: CoercionFailed >> Cannot convert _t0**2 + exp(2*I*a) of type <class 'sympy.core.add.Add'> to
QQ_I[x,b,_t0,exp(I*a)]

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.7_Inverse_tangent_functions.txt

Test file number \(153\)

Integral number in file \(53\)

Sympy [F(-2)]

Exception generated. \[ \int \arctan (c+(1+i c) \tan (a+b x)) \, dx=\text {Exception raised: CoercionFailed} \]

[In]

integrate(atan(c+(1+I*c)*tan(b*x+a)),x)

[Out]

Exception raised: CoercionFailed >> Cannot convert _t0**2 + exp(2*I*a) of type <class 'sympy.core.add.Add'> to
QQ_I[b,_t0,exp(I*a)]

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.7_Inverse_tangent_functions.txt

Test file number \(153\)

Integral number in file \(54\)

Sympy [F(-2)]

Exception generated. \[ \int x^2 \arctan (c+(-1+i c) \tan (a+b x)) \, dx=\text {Exception raised: CoercionFailed} \]

[In]

integrate(x**2*atan(c+(-1+I*c)*tan(b*x+a)),x)

[Out]

Exception raised: CoercionFailed >> Cannot convert _t0**2 + exp(2*I*a) of type <class 'sympy.core.add.Add'> to
QQ_I[x,b,_t0,exp(I*a)]

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.7_Inverse_tangent_functions.txt

Test file number \(153\)

Integral number in file \(56\)

Sympy [F(-2)]

Exception generated. \[ \int x \arctan (c+(-1+i c) \tan (a+b x)) \, dx=\text {Exception raised: CoercionFailed} \]

[In]

integrate(x*atan(c+(-1+I*c)*tan(b*x+a)),x)

[Out]

Exception raised: CoercionFailed >> Cannot convert _t0**2 + exp(2*I*a) of type <class 'sympy.core.add.Add'> to
QQ_I[x,b,_t0,exp(I*a)]

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.7_Inverse_tangent_functions.txt

Test file number \(153\)

Integral number in file \(57\)

Sympy [F(-2)]

Exception generated. \[ \int \arctan (c+(-1+i c) \tan (a+b x)) \, dx=\text {Exception raised: CoercionFailed} \]

[In]

integrate(atan(c+(-1+I*c)*tan(b*x+a)),x)

[Out]

Exception raised: CoercionFailed >> Cannot convert _t0**2 + exp(2*I*a) of type <class 'sympy.core.add.Add'> to
QQ_I[b,_t0,exp(I*a)]

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.7_Inverse_tangent_functions.txt

Test file number \(153\)

Integral number in file \(58\)

Sympy [F(-2)]

Exception generated. \[ \int x^2 \arctan (c+(1-i c) \cot (a+b x)) \, dx=\text {Exception raised: CoercionFailed} \]

[In]

integrate(-x**2*atan(-c-(1-I*c)*cot(b*x+a)),x)

[Out]

Exception raised: CoercionFailed >> Cannot convert _t0**2 - exp(2*I*a) of type <class 'sympy.core.add.Add'> to
QQ_I[x,b,_t0,exp(I*a)]

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.7_Inverse_tangent_functions.txt

Test file number \(153\)

Integral number in file \(65\)

Sympy [F(-2)]

Exception generated. \[ \int x \arctan (c+(1-i c) \cot (a+b x)) \, dx=\text {Exception raised: CoercionFailed} \]

[In]

integrate(-x*atan(-c-(1-I*c)*cot(b*x+a)),x)

[Out]

Exception raised: CoercionFailed >> Cannot convert _t0**2 - exp(2*I*a) of type <class 'sympy.core.add.Add'> to
QQ_I[x,b,_t0,exp(I*a)]

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.7_Inverse_tangent_functions.txt

Test file number \(153\)

Integral number in file \(66\)

Sympy [F(-2)]

Exception generated. \[ \int \arctan (c+(1-i c) \cot (a+b x)) \, dx=\text {Exception raised: CoercionFailed} \]

[In]

integrate(-atan(-c-(1-I*c)*cot(b*x+a)),x)

[Out]

Exception raised: CoercionFailed >> Cannot convert _t0**2 - exp(2*I*a) of type <class 'sympy.core.add.Add'> to
QQ_I[b,_t0,exp(I*a)]

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.7_Inverse_tangent_functions.txt

Test file number \(153\)

Integral number in file \(67\)

Sympy [F(-2)]

Exception generated. \[ \int x^2 \arctan (c+(-1-i c) \cot (a+b x)) \, dx=\text {Exception raised: CoercionFailed} \]

[In]

integrate(-x**2*atan(-c-(-1-I*c)*cot(b*x+a)),x)

[Out]

Exception raised: CoercionFailed >> Cannot convert _t0**2 - exp(2*I*a) of type <class 'sympy.core.add.Add'> to
QQ_I[x,b,_t0,exp(I*a)]

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.7_Inverse_tangent_functions.txt

Test file number \(153\)

Integral number in file \(69\)

Sympy [F(-2)]

Exception generated. \[ \int x \arctan (c+(-1-i c) \cot (a+b x)) \, dx=\text {Exception raised: CoercionFailed} \]

[In]

integrate(-x*atan(-c-(-1-I*c)*cot(b*x+a)),x)

[Out]

Exception raised: CoercionFailed >> Cannot convert _t0**2 - exp(2*I*a) of type <class 'sympy.core.add.Add'> to
QQ_I[x,b,_t0,exp(I*a)]

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.7_Inverse_tangent_functions.txt

Test file number \(153\)

Integral number in file \(70\)

Sympy [F(-2)]

Exception generated. \[ \int \arctan (c+(-1-i c) \cot (a+b x)) \, dx=\text {Exception raised: CoercionFailed} \]

[In]

integrate(-atan(-c-(-1-I*c)*cot(b*x+a)),x)

[Out]

Exception raised: CoercionFailed >> Cannot convert _t0**2 - exp(2*I*a) of type <class 'sympy.core.add.Add'> to
QQ_I[b,_t0,exp(I*a)]

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.7_Inverse_tangent_functions.txt

Test file number \(153\)

Integral number in file \(71\)

Sympy [F(-2)]

Exception generated. \[ \int x^2 \arctan (c+(i+c) \tanh (a+b x)) \, dx=\text {Exception raised: CoercionFailed} \]

[In]

integrate(x**2*atan(c+(I+c)*tanh(b*x+a)),x)

[Out]

Exception raised: CoercionFailed >> Cannot convert _t0**2*exp(2*a) + 1 of type <class 'sympy.core.add.Add'> to
QQ_I[x,b,_t0,exp(a)]

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.7_Inverse_tangent_functions.txt

Test file number \(153\)

Integral number in file \(85\)

Sympy [F(-2)]

Exception generated. \[ \int x \arctan (c+(i+c) \tanh (a+b x)) \, dx=\text {Exception raised: CoercionFailed} \]

[In]

integrate(x*atan(c+(I+c)*tanh(b*x+a)),x)

[Out]

Exception raised: CoercionFailed >> Cannot convert _t0**2*exp(2*a) + 1 of type <class 'sympy.core.add.Add'> to
QQ_I[x,b,_t0,exp(a)]

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.7_Inverse_tangent_functions.txt

Test file number \(153\)

Integral number in file \(86\)

Sympy [F(-2)]

Exception generated. \[ \int \arctan (c+(i+c) \tanh (a+b x)) \, dx=\text {Exception raised: CoercionFailed} \]

[In]

integrate(atan(c+(I+c)*tanh(b*x+a)),x)

[Out]

Exception raised: CoercionFailed >> Cannot convert _t0**2*exp(2*a) + 1 of type <class 'sympy.core.add.Add'> to
QQ_I[b,_t0,exp(a)]

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.7_Inverse_tangent_functions.txt

Test file number \(153\)

Integral number in file \(87\)

Sympy [F(-2)]

Exception generated. \[ \int x^2 \arctan (c-(i-c) \tanh (a+b x)) \, dx=\text {Exception raised: CoercionFailed} \]

[In]

integrate(x**2*atan(c-(I-c)*tanh(b*x+a)),x)

[Out]

Exception raised: CoercionFailed >> Cannot convert _t0**2*exp(2*a) + 1 of type <class 'sympy.core.add.Add'> to
QQ_I[x,b,_t0,exp(a)]

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.7_Inverse_tangent_functions.txt

Test file number \(153\)

Integral number in file \(89\)

Sympy [F(-2)]

Exception generated. \[ \int x \arctan (c-(i-c) \tanh (a+b x)) \, dx=\text {Exception raised: CoercionFailed} \]

[In]

integrate(x*atan(c-(I-c)*tanh(b*x+a)),x)

[Out]

Exception raised: CoercionFailed >> Cannot convert _t0**2*exp(2*a) + 1 of type <class 'sympy.core.add.Add'> to
QQ_I[x,b,_t0,exp(a)]

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.7_Inverse_tangent_functions.txt

Test file number \(153\)

Integral number in file \(90\)

Sympy [F(-2)]

Exception generated. \[ \int \arctan (c-(i-c) \tanh (a+b x)) \, dx=\text {Exception raised: CoercionFailed} \]

[In]

integrate(atan(c-(I-c)*tanh(b*x+a)),x)

[Out]

Exception raised: CoercionFailed >> Cannot convert _t0**2*exp(2*a) + 1 of type <class 'sympy.core.add.Add'> to
QQ_I[b,_t0,exp(a)]

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.7_Inverse_tangent_functions.txt

Test file number \(153\)

Integral number in file \(91\)

Sympy [F(-2)]

Exception generated. \[ \int x^2 \arctan (c+(i+c) \coth (a+b x)) \, dx=\text {Exception raised: CoercionFailed} \]

[In]

integrate(x**2*atan(c+(I+c)*coth(b*x+a)),x)

[Out]

Exception raised: CoercionFailed >> Cannot convert _t0**2*exp(2*a) - 1 of type <class 'sympy.core.add.Add'> to
QQ_I[x,b,_t0,exp(a)]

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.7_Inverse_tangent_functions.txt

Test file number \(153\)

Integral number in file \(102\)

Sympy [F(-2)]

Exception generated. \[ \int x \arctan (c+(i+c) \coth (a+b x)) \, dx=\text {Exception raised: CoercionFailed} \]

[In]

integrate(x*atan(c+(I+c)*coth(b*x+a)),x)

[Out]

Exception raised: CoercionFailed >> Cannot convert _t0**2*exp(2*a) - 1 of type <class 'sympy.core.add.Add'> to
QQ_I[x,b,_t0,exp(a)]

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.7_Inverse_tangent_functions.txt

Test file number \(153\)

Integral number in file \(103\)

Sympy [F(-2)]

Exception generated. \[ \int \arctan (c+(i+c) \coth (a+b x)) \, dx=\text {Exception raised: CoercionFailed} \]

[In]

integrate(atan(c+(I+c)*coth(b*x+a)),x)

[Out]

Exception raised: CoercionFailed >> Cannot convert _t0**2*exp(2*a) - 1 of type <class 'sympy.core.add.Add'> to
QQ_I[b,_t0,exp(a)]

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.7_Inverse_tangent_functions.txt

Test file number \(153\)

Integral number in file \(104\)

Sympy [F(-2)]

Exception generated. \[ \int x^2 \arctan (c-(i-c) \coth (a+b x)) \, dx=\text {Exception raised: CoercionFailed} \]

[In]

integrate(x**2*atan(c-(I-c)*coth(b*x+a)),x)

[Out]

Exception raised: CoercionFailed >> Cannot convert _t0**2*exp(2*a) - 1 of type <class 'sympy.core.add.Add'> to
QQ_I[x,b,_t0,exp(a)]

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.7_Inverse_tangent_functions.txt

Test file number \(153\)

Integral number in file \(106\)

Sympy [F(-2)]

Exception generated. \[ \int x \arctan (c-(i-c) \coth (a+b x)) \, dx=\text {Exception raised: CoercionFailed} \]

[In]

integrate(x*atan(c-(I-c)*coth(b*x+a)),x)

[Out]

Exception raised: CoercionFailed >> Cannot convert _t0**2*exp(2*a) - 1 of type <class 'sympy.core.add.Add'> to
QQ_I[x,b,_t0,exp(a)]

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.7_Inverse_tangent_functions.txt

Test file number \(153\)

Integral number in file \(107\)

Sympy [F(-2)]

Exception generated. \[ \int \arctan (c-(i-c) \coth (a+b x)) \, dx=\text {Exception raised: CoercionFailed} \]

[In]

integrate(atan(c-(I-c)*coth(b*x+a)),x)

[Out]

Exception raised: CoercionFailed >> Cannot convert _t0**2*exp(2*a) - 1 of type <class 'sympy.core.add.Add'> to
QQ_I[b,_t0,exp(a)]

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.7_Inverse_tangent_functions.txt

Test file number \(153\)

Integral number in file \(108\)

Sympy [F(-2)]

Exception generated. \[ \int \frac {\cot ^{-1}(x)}{\left (1+x^2\right )^2} \, dx=\text {Exception raised: RecursionError} \]

[In]

integrate(acot(x)/(x**2+1)**2,x)

[Out]

Exception raised: RecursionError >> maximum recursion depth exceeded in comparison

input file name 5_Inverse_trig_functions/5.4_Inverse_cotangent/5.4.1_Inverse_cotangent_functions.txt

Test file number \(154\)

Integral number in file \(72\)

Sympy [F(-2)]

Exception generated. \[ \int x^2 \cot ^{-1}(c+(1+i c) \tan (a+b x)) \, dx=\text {Exception raised: CoercionFailed} \]

[In]

integrate(x**2*acot(c+(1+I*c)*tan(b*x+a)),x)

[Out]

Exception raised: CoercionFailed >> Cannot convert _t0**2*I + 2*c*exp(2*I*a) - I*exp(2*I*a) of type <class 'sy
mpy.core.add.Add'> to QQ_I[x,b,c,_t0,exp(I*a)]

input file name 5_Inverse_trig_functions/5.4_Inverse_cotangent/5.4.1_Inverse_cotangent_functions.txt

Test file number \(154\)

Integral number in file \(162\)

Sympy [F(-2)]

Exception generated. \[ \int x \cot ^{-1}(c+(1+i c) \tan (a+b x)) \, dx=\text {Exception raised: CoercionFailed} \]

[In]

integrate(x*acot(c+(1+I*c)*tan(b*x+a)),x)

[Out]

Exception raised: CoercionFailed >> Cannot convert _t0**2*I + 2*c*exp(2*I*a) - I*exp(2*I*a) of type <class 'sy
mpy.core.add.Add'> to QQ_I[x,b,c,_t0,exp(I*a)]

input file name 5_Inverse_trig_functions/5.4_Inverse_cotangent/5.4.1_Inverse_cotangent_functions.txt

Test file number \(154\)

Integral number in file \(163\)

Sympy [F(-2)]

Exception generated. \[ \int \cot ^{-1}(c+(1+i c) \tan (a+b x)) \, dx=\text {Exception raised: CoercionFailed} \]

[In]

integrate(acot(c+(1+I*c)*tan(b*x+a)),x)

[Out]

Exception raised: CoercionFailed >> Cannot convert _t0**2*I + 2*c*exp(2*I*a) - I*exp(2*I*a) of type <class 'sy
mpy.core.add.Add'> to QQ_I[b,c,_t0,exp(I*a)]

input file name 5_Inverse_trig_functions/5.4_Inverse_cotangent/5.4.1_Inverse_cotangent_functions.txt

Test file number \(154\)

Integral number in file \(164\)

Sympy [F(-2)]

Exception generated. \[ \int x^2 \cot ^{-1}(c-(1-i c) \tan (a+b x)) \, dx=\text {Exception raised: CoercionFailed} \]

[In]

integrate(x**2*acot(c-(1-I*c)*tan(b*x+a)),x)

[Out]

Exception raised: CoercionFailed >> Cannot convert -_t0**4 - 3*_t0**2*I*c*exp(2*I*a) + _t0**2*exp(2*I*a) + 2*c
**2*exp(4*I*a) + I*c*exp(4*I*a) of type <class 'sympy.core.add.Add'> to QQ_I[x,b,c,_t0,exp(I*a)]

input file name 5_Inverse_trig_functions/5.4_Inverse_cotangent/5.4.1_Inverse_cotangent_functions.txt

Test file number \(154\)

Integral number in file \(166\)

Sympy [F(-2)]

Exception generated. \[ \int x \cot ^{-1}(c-(1-i c) \tan (a+b x)) \, dx=\text {Exception raised: CoercionFailed} \]

[In]

integrate(x*acot(c-(1-I*c)*tan(b*x+a)),x)

[Out]

Exception raised: CoercionFailed >> Cannot convert -_t0**4 - 3*_t0**2*I*c*exp(2*I*a) + _t0**2*exp(2*I*a) + 2*c
**2*exp(4*I*a) + I*c*exp(4*I*a) of type <class 'sympy.core.add.Add'> to QQ_I[x,b,c,_t0,exp(I*a)]

input file name 5_Inverse_trig_functions/5.4_Inverse_cotangent/5.4.1_Inverse_cotangent_functions.txt

Test file number \(154\)

Integral number in file \(167\)

Sympy [F(-2)]

Exception generated. \[ \int \cot ^{-1}(c-(1-i c) \tan (a+b x)) \, dx=\text {Exception raised: CoercionFailed} \]

[In]

integrate(acot(c-(1-I*c)*tan(b*x+a)),x)

[Out]

Exception raised: CoercionFailed >> Cannot convert -_t0**4 - 3*_t0**2*I*c*exp(2*I*a) + _t0**2*exp(2*I*a) + 2*c
**2*exp(4*I*a) + I*c*exp(4*I*a) of type <class 'sympy.core.add.Add'> to QQ_I[b,c,_t0,exp(I*a)]

input file name 5_Inverse_trig_functions/5.4_Inverse_cotangent/5.4.1_Inverse_cotangent_functions.txt

Test file number \(154\)

Integral number in file \(168\)

Sympy [F(-2)]

Exception generated. \[ \int x^2 \cot ^{-1}(c+(1-i c) \cot (a+b x)) \, dx=\text {Exception raised: CoercionFailed} \]

[In]

integrate(x**2*(pi-acot(-c-(1-I*c)*cot(b*x+a))),x)

[Out]

Exception raised: CoercionFailed >> Cannot convert -_t0**4 + 3*_t0**2*I*c*exp(2*I*a) - _t0**2*exp(2*I*a) + 2*c
**2*exp(4*I*a) + I*c*exp(4*I*a) of type <class 'sympy.core.add.Add'> to QQ_I[x,b,c,_t0,exp(I*a)]

input file name 5_Inverse_trig_functions/5.4_Inverse_cotangent/5.4.1_Inverse_cotangent_functions.txt

Test file number \(154\)

Integral number in file \(175\)

Sympy [F(-2)]

Exception generated. \[ \int x \cot ^{-1}(c+(1-i c) \cot (a+b x)) \, dx=\text {Exception raised: CoercionFailed} \]

[In]

integrate(x*(pi-acot(-c-(1-I*c)*cot(b*x+a))),x)

[Out]

Exception raised: CoercionFailed >> Cannot convert -_t0**4 + 3*_t0**2*I*c*exp(2*I*a) - _t0**2*exp(2*I*a) + 2*c
**2*exp(4*I*a) + I*c*exp(4*I*a) of type <class 'sympy.core.add.Add'> to QQ_I[x,b,c,_t0,exp(I*a)]

input file name 5_Inverse_trig_functions/5.4_Inverse_cotangent/5.4.1_Inverse_cotangent_functions.txt

Test file number \(154\)

Integral number in file \(176\)

Sympy [F(-2)]

Exception generated. \[ \int \cot ^{-1}(c+(1-i c) \cot (a+b x)) \, dx=\text {Exception raised: CoercionFailed} \]

[In]

integrate(pi-acot(-c-(1-I*c)*cot(b*x+a)),x)

[Out]

Exception raised: CoercionFailed >> Cannot convert -_t0**4 + 3*_t0**2*I*c*exp(2*I*a) - _t0**2*exp(2*I*a) + 2*c
**2*exp(4*I*a) + I*c*exp(4*I*a) of type <class 'sympy.core.add.Add'> to QQ_I[b,c,_t0,exp(I*a)]

input file name 5_Inverse_trig_functions/5.4_Inverse_cotangent/5.4.1_Inverse_cotangent_functions.txt

Test file number \(154\)

Integral number in file \(177\)

Sympy [F(-2)]

Exception generated. \[ \int x^2 \cot ^{-1}(c-(1+i c) \cot (a+b x)) \, dx=\text {Exception raised: CoercionFailed} \]

[In]

integrate(x**2*(pi-acot(-c+(1+I*c)*cot(b*x+a))),x)

[Out]

Exception raised: CoercionFailed >> Cannot convert -_t0**2*I + 2*c*exp(2*I*a) - I*exp(2*I*a) of type <class 's
ympy.core.add.Add'> to QQ_I[x,b,c,_t0,exp(I*a)]

input file name 5_Inverse_trig_functions/5.4_Inverse_cotangent/5.4.1_Inverse_cotangent_functions.txt

Test file number \(154\)

Integral number in file \(179\)

Sympy [F(-2)]

Exception generated. \[ \int x \cot ^{-1}(c-(1+i c) \cot (a+b x)) \, dx=\text {Exception raised: CoercionFailed} \]

[In]

integrate(x*(pi-acot(-c+(1+I*c)*cot(b*x+a))),x)

[Out]

Exception raised: CoercionFailed >> Cannot convert -_t0**2*I + 2*c*exp(2*I*a) - I*exp(2*I*a) of type <class 's
ympy.core.add.Add'> to QQ_I[x,b,c,_t0,exp(I*a)]

input file name 5_Inverse_trig_functions/5.4_Inverse_cotangent/5.4.1_Inverse_cotangent_functions.txt

Test file number \(154\)

Integral number in file \(180\)

Sympy [F(-2)]

Exception generated. \[ \int \cot ^{-1}(c-(1+i c) \cot (a+b x)) \, dx=\text {Exception raised: CoercionFailed} \]

[In]

integrate(pi-acot(-c+(1+I*c)*cot(b*x+a)),x)

[Out]

Exception raised: CoercionFailed >> Cannot convert -_t0**2*I + 2*c*exp(2*I*a) - I*exp(2*I*a) of type <class 's
ympy.core.add.Add'> to QQ_I[b,c,_t0,exp(I*a)]

input file name 5_Inverse_trig_functions/5.4_Inverse_cotangent/5.4.1_Inverse_cotangent_functions.txt

Test file number \(154\)

Integral number in file \(181\)

Sympy [F(-2)]

Exception generated. \[ \int x^2 \cot ^{-1}(c+(i+c) \tanh (a+b x)) \, dx=\text {Exception raised: CoercionFailed} \]

[In]

integrate(x**2*acot(c+(I+c)*tanh(b*x+a)),x)

[Out]

Exception raised: CoercionFailed >> Cannot convert 2*_t0**4*c**2*exp(4*a) + _t0**4*I*c*exp(4*a) - 3*_t0**2*I*c
*exp(2*a) + _t0**2*exp(2*a) - 1 of type <class 'sympy.core.add.Add'> to QQ_I[x,b,c,_t0,exp(a)]

input file name 5_Inverse_trig_functions/5.4_Inverse_cotangent/5.4.1_Inverse_cotangent_functions.txt

Test file number \(154\)

Integral number in file \(192\)

Sympy [F(-2)]

Exception generated. \[ \int x \cot ^{-1}(c+(i+c) \tanh (a+b x)) \, dx=\text {Exception raised: CoercionFailed} \]

[In]

integrate(x*acot(c+(I+c)*tanh(b*x+a)),x)

[Out]

Exception raised: CoercionFailed >> Cannot convert 2*_t0**4*c**2*exp(4*a) + _t0**4*I*c*exp(4*a) - 3*_t0**2*I*c
*exp(2*a) + _t0**2*exp(2*a) - 1 of type <class 'sympy.core.add.Add'> to QQ_I[x,b,c,_t0,exp(a)]

input file name 5_Inverse_trig_functions/5.4_Inverse_cotangent/5.4.1_Inverse_cotangent_functions.txt

Test file number \(154\)

Integral number in file \(193\)

Sympy [F(-2)]

Exception generated. \[ \int \cot ^{-1}(c+(i+c) \tanh (a+b x)) \, dx=\text {Exception raised: CoercionFailed} \]

[In]

integrate(acot(c+(I+c)*tanh(b*x+a)),x)

[Out]

Exception raised: CoercionFailed >> Cannot convert 2*_t0**4*c**2*exp(4*a) + _t0**4*I*c*exp(4*a) - 3*_t0**2*I*c
*exp(2*a) + _t0**2*exp(2*a) - 1 of type <class 'sympy.core.add.Add'> to QQ_I[b,c,_t0,exp(a)]

input file name 5_Inverse_trig_functions/5.4_Inverse_cotangent/5.4.1_Inverse_cotangent_functions.txt

Test file number \(154\)

Integral number in file \(194\)

Sympy [F(-2)]

Exception generated. \[ \int x^2 \cot ^{-1}(c-(i-c) \tanh (a+b x)) \, dx=\text {Exception raised: CoercionFailed} \]

[In]

integrate(x**2*acot(c-(I-c)*tanh(b*x+a)),x)

[Out]

Exception raised: CoercionFailed >> Cannot convert 2*_t0**2*c*exp(2*a) - _t0**2*I*exp(2*a) + I of type <class
'sympy.core.add.Add'> to QQ_I[x,b,c,_t0,exp(a)]

input file name 5_Inverse_trig_functions/5.4_Inverse_cotangent/5.4.1_Inverse_cotangent_functions.txt

Test file number \(154\)

Integral number in file \(196\)

Sympy [F(-2)]

Exception generated. \[ \int x \cot ^{-1}(c-(i-c) \tanh (a+b x)) \, dx=\text {Exception raised: CoercionFailed} \]

[In]

integrate(x*acot(c-(I-c)*tanh(b*x+a)),x)

[Out]

Exception raised: CoercionFailed >> Cannot convert 2*_t0**2*c*exp(2*a) - _t0**2*I*exp(2*a) + I of type <class
'sympy.core.add.Add'> to QQ_I[x,b,c,_t0,exp(a)]

input file name 5_Inverse_trig_functions/5.4_Inverse_cotangent/5.4.1_Inverse_cotangent_functions.txt

Test file number \(154\)

Integral number in file \(197\)

Sympy [F(-2)]

Exception generated. \[ \int \cot ^{-1}(c-(i-c) \tanh (a+b x)) \, dx=\text {Exception raised: CoercionFailed} \]

[In]

integrate(acot(c-(I-c)*tanh(b*x+a)),x)

[Out]

Exception raised: CoercionFailed >> Cannot convert 2*_t0**2*c*exp(2*a) - _t0**2*I*exp(2*a) + I of type <class
'sympy.core.add.Add'> to QQ_I[b,c,_t0,exp(a)]

input file name 5_Inverse_trig_functions/5.4_Inverse_cotangent/5.4.1_Inverse_cotangent_functions.txt

Test file number \(154\)

Integral number in file \(198\)

Sympy [F(-2)]

Exception generated. \[ \int x^2 \cot ^{-1}(c+(i+c) \coth (a+b x)) \, dx=\text {Exception raised: CoercionFailed} \]

[In]

integrate(x**2*acot(c+(I+c)*coth(b*x+a)),x)

[Out]

Exception raised: CoercionFailed >> Cannot convert 2*_t0**4*c**2*exp(4*a) + _t0**4*I*c*exp(4*a) + 3*_t0**2*I*c
*exp(2*a) - _t0**2*exp(2*a) - 1 of type <class 'sympy.core.add.Add'> to QQ_I[x,b,c,_t0,exp(a)]

input file name 5_Inverse_trig_functions/5.4_Inverse_cotangent/5.4.1_Inverse_cotangent_functions.txt

Test file number \(154\)

Integral number in file \(209\)

Sympy [F(-2)]

Exception generated. \[ \int x \cot ^{-1}(c+(i+c) \coth (a+b x)) \, dx=\text {Exception raised: CoercionFailed} \]

[In]

integrate(x*acot(c+(I+c)*coth(b*x+a)),x)

[Out]

Exception raised: CoercionFailed >> Cannot convert 2*_t0**4*c**2*exp(4*a) + _t0**4*I*c*exp(4*a) + 3*_t0**2*I*c
*exp(2*a) - _t0**2*exp(2*a) - 1 of type <class 'sympy.core.add.Add'> to QQ_I[x,b,c,_t0,exp(a)]

input file name 5_Inverse_trig_functions/5.4_Inverse_cotangent/5.4.1_Inverse_cotangent_functions.txt

Test file number \(154\)

Integral number in file \(210\)

Sympy [F(-2)]

Exception generated. \[ \int \cot ^{-1}(c+(i+c) \coth (a+b x)) \, dx=\text {Exception raised: CoercionFailed} \]

[In]

integrate(acot(c+(I+c)*coth(b*x+a)),x)

[Out]

Exception raised: CoercionFailed >> Cannot convert 2*_t0**4*c**2*exp(4*a) + _t0**4*I*c*exp(4*a) + 3*_t0**2*I*c
*exp(2*a) - _t0**2*exp(2*a) - 1 of type <class 'sympy.core.add.Add'> to QQ_I[b,c,_t0,exp(a)]

input file name 5_Inverse_trig_functions/5.4_Inverse_cotangent/5.4.1_Inverse_cotangent_functions.txt

Test file number \(154\)

Integral number in file \(211\)

Sympy [F(-2)]

Exception generated. \[ \int x^2 \cot ^{-1}(c-(i-c) \coth (a+b x)) \, dx=\text {Exception raised: CoercionFailed} \]

[In]

integrate(x**2*acot(c-(I-c)*coth(b*x+a)),x)

[Out]

Exception raised: CoercionFailed >> Cannot convert 2*_t0**2*c*exp(2*a) - _t0**2*I*exp(2*a) - I of type <class
'sympy.core.add.Add'> to QQ_I[x,b,c,_t0,exp(a)]

input file name 5_Inverse_trig_functions/5.4_Inverse_cotangent/5.4.1_Inverse_cotangent_functions.txt

Test file number \(154\)

Integral number in file \(213\)

Sympy [F(-2)]

Exception generated. \[ \int x \cot ^{-1}(c-(i-c) \coth (a+b x)) \, dx=\text {Exception raised: CoercionFailed} \]

[In]

integrate(x*acot(c-(I-c)*coth(b*x+a)),x)

[Out]

Exception raised: CoercionFailed >> Cannot convert 2*_t0**2*c*exp(2*a) - _t0**2*I*exp(2*a) - I of type <class
'sympy.core.add.Add'> to QQ_I[x,b,c,_t0,exp(a)]

input file name 5_Inverse_trig_functions/5.4_Inverse_cotangent/5.4.1_Inverse_cotangent_functions.txt

Test file number \(154\)

Integral number in file \(214\)

Sympy [F(-2)]

Exception generated. \[ \int \cot ^{-1}(c-(i-c) \coth (a+b x)) \, dx=\text {Exception raised: CoercionFailed} \]

[In]

integrate(acot(c-(I-c)*coth(b*x+a)),x)

[Out]

Exception raised: CoercionFailed >> Cannot convert 2*_t0**2*c*exp(2*a) - _t0**2*I*exp(2*a) - I of type <class
'sympy.core.add.Add'> to QQ_I[b,c,_t0,exp(a)]

input file name 5_Inverse_trig_functions/5.4_Inverse_cotangent/5.4.1_Inverse_cotangent_functions.txt

Test file number \(154\)

Integral number in file \(215\)

Sympy [F(-2)]

Exception generated. \[ \int (c+d x)^m \sinh (a+b x) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((d*x+c)**m*sinh(b*x+a),x)

[Out]

Exception raised: TypeError >> cannot determine truth value of Relational

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.1-c+d_x-^m-a+b_sinh-^n.txt

Test file number \(160\)

Integral number in file \(75\)

Sympy [F(-2)]

Exception generated. \[ \int x^{3+m} \sinh (a+b x) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x**(3+m)*sinh(b*x+a),x)

[Out]

Exception raised: TypeError >> cannot determine truth value of Relational

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.1-c+d_x-^m-a+b_sinh-^n.txt

Test file number \(160\)

Integral number in file \(78\)

Sympy [F(-2)]

Exception generated. \[ \int x^{2+m} \sinh (a+b x) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x**(2+m)*sinh(b*x+a),x)

[Out]

Exception raised: TypeError >> cannot determine truth value of Relational

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.1-c+d_x-^m-a+b_sinh-^n.txt

Test file number \(160\)

Integral number in file \(79\)

Sympy [F(-2)]

Exception generated. \[ \int x^{1+m} \sinh (a+b x) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x**(1+m)*sinh(b*x+a),x)

[Out]

Exception raised: TypeError >> cannot determine truth value of Relational

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.1-c+d_x-^m-a+b_sinh-^n.txt

Test file number \(160\)

Integral number in file \(80\)

Sympy [F(-2)]

Exception generated. \[ \int x^m \sinh (a+b x) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x**m*sinh(b*x+a),x)

[Out]

Exception raised: TypeError >> cannot determine truth value of Relational

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.1-c+d_x-^m-a+b_sinh-^n.txt

Test file number \(160\)

Integral number in file \(81\)

Sympy [F(-2)]

Exception generated. \[ \int x^{-1+m} \sinh (a+b x) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x**(-1+m)*sinh(b*x+a),x)

[Out]

Exception raised: TypeError >> cannot determine truth value of Relational

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.1-c+d_x-^m-a+b_sinh-^n.txt

Test file number \(160\)

Integral number in file \(82\)

Sympy [F(-2)]

Exception generated. \[ \int x^{-2+m} \sinh (a+b x) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x**(-2+m)*sinh(b*x+a),x)

[Out]

Exception raised: TypeError >> cannot determine truth value of Relational

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.1-c+d_x-^m-a+b_sinh-^n.txt

Test file number \(160\)

Integral number in file \(83\)

Sympy [F(-2)]

Exception generated. \[ \int x^{-3+m} \sinh (a+b x) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x**(-3+m)*sinh(b*x+a),x)

[Out]

Exception raised: TypeError >> cannot determine truth value of Relational

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.1-c+d_x-^m-a+b_sinh-^n.txt

Test file number \(160\)

Integral number in file \(84\)

Sympy [F(-2)]

Exception generated. \[ \int (c+d x)^m (a+i a \sinh (e+f x))^3 \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((d*x+c)**m*(a+I*a*sinh(f*x+e))**3,x)

[Out]

Exception raised: TypeError >> cannot determine truth value of Relational

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.1-c+d_x-^m-a+b_sinh-^n.txt

Test file number \(160\)

Integral number in file \(152\)

Sympy [F(-2)]

Exception generated. \[ \int (c+d x)^m (a+i a \sinh (e+f x))^2 \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((d*x+c)**m*(a+I*a*sinh(f*x+e))**2,x)

[Out]

Exception raised: TypeError >> cannot determine truth value of Relational

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.1-c+d_x-^m-a+b_sinh-^n.txt

Test file number \(160\)

Integral number in file \(153\)

Sympy [F(-2)]

Exception generated. \[ \int (c+d x)^m (a+i a \sinh (e+f x)) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((d*x+c)**m*(a+I*a*sinh(f*x+e)),x)

[Out]

Exception raised: TypeError >> cannot determine truth value of Relational

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.1-c+d_x-^m-a+b_sinh-^n.txt

Test file number \(160\)

Integral number in file \(154\)

Sympy [F(-2)]

Exception generated. \[ \int (c+d x)^m (a+b \sinh (e+f x))^3 \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((d*x+c)**m*(a+b*sinh(f*x+e))**3,x)

[Out]

Exception raised: TypeError >> cannot determine truth value of Relational

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.1-c+d_x-^m-a+b_sinh-^n.txt

Test file number \(160\)

Integral number in file \(182\)

Sympy [F(-2)]

Exception generated. \[ \int (c+d x)^m (a+b \sinh (e+f x))^2 \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((d*x+c)**m*(a+b*sinh(f*x+e))**2,x)

[Out]

Exception raised: TypeError >> cannot determine truth value of Relational

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.1-c+d_x-^m-a+b_sinh-^n.txt

Test file number \(160\)

Integral number in file \(183\)

Sympy [F(-2)]

Exception generated. \[ \int (c+d x)^m (a+b \sinh (e+f x)) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((d*x+c)**m*(a+b*sinh(f*x+e)),x)

[Out]

Exception raised: TypeError >> cannot determine truth value of Relational

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.1-c+d_x-^m-a+b_sinh-^n.txt

Test file number \(160\)

Integral number in file \(184\)

Sympy [F(-2)]

Exception generated. \[ \int (c+d x)^m \cosh (a+b x) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((d*x+c)**m*cosh(b*x+a),x)

[Out]

Exception raised: TypeError >> cannot determine truth value of Relational

input file name 6_Hyperbolic_functions/6.2_Hyperbolic_cosine/6.2.1-c+d_x-^m-a+b_cosh-^n.txt

Test file number \(165\)

Integral number in file \(78\)

Sympy [F(-2)]

Exception generated. \[ \int x^{3+m} \cosh (a+b x) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x**(3+m)*cosh(b*x+a),x)

[Out]

Exception raised: TypeError >> cannot determine truth value of Relational

input file name 6_Hyperbolic_functions/6.2_Hyperbolic_cosine/6.2.1-c+d_x-^m-a+b_cosh-^n.txt

Test file number \(165\)

Integral number in file \(81\)

Sympy [F(-2)]

Exception generated. \[ \int x^{2+m} \cosh (a+b x) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x**(2+m)*cosh(b*x+a),x)

[Out]

Exception raised: TypeError >> cannot determine truth value of Relational

input file name 6_Hyperbolic_functions/6.2_Hyperbolic_cosine/6.2.1-c+d_x-^m-a+b_cosh-^n.txt

Test file number \(165\)

Integral number in file \(82\)

Sympy [F(-2)]

Exception generated. \[ \int x^{1+m} \cosh (a+b x) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x**(1+m)*cosh(b*x+a),x)

[Out]

Exception raised: TypeError >> cannot determine truth value of Relational

input file name 6_Hyperbolic_functions/6.2_Hyperbolic_cosine/6.2.1-c+d_x-^m-a+b_cosh-^n.txt

Test file number \(165\)

Integral number in file \(83\)

Sympy [F(-2)]

Exception generated. \[ \int x^m \cosh (a+b x) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x**m*cosh(b*x+a),x)

[Out]

Exception raised: TypeError >> cannot determine truth value of Relational

input file name 6_Hyperbolic_functions/6.2_Hyperbolic_cosine/6.2.1-c+d_x-^m-a+b_cosh-^n.txt

Test file number \(165\)

Integral number in file \(84\)

Sympy [F(-2)]

Exception generated. \[ \int x^{-1+m} \cosh (a+b x) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x**(-1+m)*cosh(b*x+a),x)

[Out]

Exception raised: TypeError >> cannot determine truth value of Relational

input file name 6_Hyperbolic_functions/6.2_Hyperbolic_cosine/6.2.1-c+d_x-^m-a+b_cosh-^n.txt

Test file number \(165\)

Integral number in file \(85\)

Sympy [F(-2)]

Exception generated. \[ \int x^{-2+m} \cosh (a+b x) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x**(-2+m)*cosh(b*x+a),x)

[Out]

Exception raised: TypeError >> cannot determine truth value of Relational

input file name 6_Hyperbolic_functions/6.2_Hyperbolic_cosine/6.2.1-c+d_x-^m-a+b_cosh-^n.txt

Test file number \(165\)

Integral number in file \(86\)

Sympy [F(-2)]

Exception generated. \[ \int x^{-3+m} \cosh (a+b x) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x**(-3+m)*cosh(b*x+a),x)

[Out]

Exception raised: TypeError >> cannot determine truth value of Relational

input file name 6_Hyperbolic_functions/6.2_Hyperbolic_cosine/6.2.1-c+d_x-^m-a+b_cosh-^n.txt

Test file number \(165\)

Integral number in file \(87\)

Sympy [F(-2)]

Exception generated. \[ \int (c+d x)^m (a+a \cosh (e+f x))^3 \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((d*x+c)**m*(a+a*cosh(f*x+e))**3,x)

[Out]

Exception raised: TypeError >> cannot determine truth value of Relational

input file name 6_Hyperbolic_functions/6.2_Hyperbolic_cosine/6.2.1-c+d_x-^m-a+b_cosh-^n.txt

Test file number \(165\)

Integral number in file \(151\)

Sympy [F(-2)]

Exception generated. \[ \int (c+d x)^m (a+a \cosh (e+f x))^2 \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((d*x+c)**m*(a+a*cosh(f*x+e))**2,x)

[Out]

Exception raised: TypeError >> cannot determine truth value of Relational

input file name 6_Hyperbolic_functions/6.2_Hyperbolic_cosine/6.2.1-c+d_x-^m-a+b_cosh-^n.txt

Test file number \(165\)

Integral number in file \(152\)

Sympy [F(-2)]

Exception generated. \[ \int (c+d x)^m (a+a \cosh (e+f x)) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((d*x+c)**m*(a+a*cosh(f*x+e)),x)

[Out]

Exception raised: TypeError >> cannot determine truth value of Relational

input file name 6_Hyperbolic_functions/6.2_Hyperbolic_cosine/6.2.1-c+d_x-^m-a+b_cosh-^n.txt

Test file number \(165\)

Integral number in file \(153\)

Sympy [F(-2)]

Exception generated. \[ \int (c+d x)^m (a+b \cosh (e+f x))^3 \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((d*x+c)**m*(a+b*cosh(f*x+e))**3,x)

[Out]

Exception raised: TypeError >> cannot determine truth value of Relational

input file name 6_Hyperbolic_functions/6.2_Hyperbolic_cosine/6.2.1-c+d_x-^m-a+b_cosh-^n.txt

Test file number \(165\)

Integral number in file \(179\)

Sympy [F(-2)]

Exception generated. \[ \int (c+d x)^m (a+b \cosh (e+f x))^2 \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((d*x+c)**m*(a+b*cosh(f*x+e))**2,x)

[Out]

Exception raised: TypeError >> cannot determine truth value of Relational

input file name 6_Hyperbolic_functions/6.2_Hyperbolic_cosine/6.2.1-c+d_x-^m-a+b_cosh-^n.txt

Test file number \(165\)

Integral number in file \(180\)

Sympy [F(-2)]

Exception generated. \[ \int (c+d x)^m (a+b \cosh (e+f x)) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((d*x+c)**m*(a+b*cosh(f*x+e)),x)

[Out]

Exception raised: TypeError >> cannot determine truth value of Relational

input file name 6_Hyperbolic_functions/6.2_Hyperbolic_cosine/6.2.1-c+d_x-^m-a+b_cosh-^n.txt

Test file number \(165\)

Integral number in file \(181\)

Sympy [F(-2)]

Exception generated. \[ \int \frac {1}{1+\cosh ^5(x)} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(1/(1+cosh(x)**5),x)

[Out]

Exception raised: ValueError >> Exceeds the limit (4300 digits) for integer string conversion; use sys.set_int
_max_str_digits() to increase the limit

input file name 6_Hyperbolic_functions/6.2_Hyperbolic_cosine/6.2.7_hyper^m-a+b_cosh^n-^p.txt

Test file number \(170\)

Integral number in file \(70\)

Sympy [F(-2)]

Exception generated. \[ \int \frac {(c+d x)^3}{(a+b \coth (e+f x))^2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((d*x+c)**3/(a+b*coth(f*x+e))**2,x)

[Out]

Exception raised: TypeError >> Invalid NaN comparison

input file name 6_Hyperbolic_functions/6.4_Hyperbolic_cotangent/6.4.1-c+d_x-^m-a+b_coth-^n.txt

Test file number \(174\)

Integral number in file \(57\)

Sympy [F(-2)]

Exception generated. \[ \int \frac {(c+d x)^2}{(a+b \coth (e+f x))^2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((d*x+c)**2/(a+b*coth(f*x+e))**2,x)

[Out]

Exception raised: TypeError >> Invalid NaN comparison

input file name 6_Hyperbolic_functions/6.4_Hyperbolic_cotangent/6.4.1-c+d_x-^m-a+b_coth-^n.txt

Test file number \(174\)

Integral number in file \(58\)

Sympy [F(-2)]

Exception generated. \[ \int \frac {c+d x}{(a+b \coth (e+f x))^2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((d*x+c)/(a+b*coth(f*x+e))**2,x)

[Out]

Exception raised: TypeError >> Invalid NaN comparison

input file name 6_Hyperbolic_functions/6.4_Hyperbolic_cotangent/6.4.1-c+d_x-^m-a+b_coth-^n.txt

Test file number \(174\)

Integral number in file \(59\)

Sympy [F(-2)]

Exception generated. \[ \int \frac {1}{(a+b \coth (c+d x))^2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/(a+b*coth(d*x+c))**2,x)

[Out]

Exception raised: TypeError >> Invalid NaN comparison

input file name 6_Hyperbolic_functions/6.4_Hyperbolic_cotangent/6.4.2_Hyperbolic_cotangent_functions.txt

Test file number \(175\)

Integral number in file \(82\)

Sympy [F(-2)]

Exception generated. \[ \int \frac {1}{(a+b \coth (c+d x))^3} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/(a+b*coth(d*x+c))**3,x)

[Out]

Exception raised: TypeError >> Invalid NaN comparison

input file name 6_Hyperbolic_functions/6.4_Hyperbolic_cotangent/6.4.2_Hyperbolic_cotangent_functions.txt

Test file number \(175\)

Integral number in file \(83\)

Sympy [F(-2)]

Exception generated. \[ \int \frac {1}{(a+b \coth (c+d x))^4} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/(a+b*coth(d*x+c))**4,x)

[Out]

Exception raised: TypeError >> Invalid NaN comparison

input file name 6_Hyperbolic_functions/6.4_Hyperbolic_cotangent/6.4.2_Hyperbolic_cotangent_functions.txt

Test file number \(175\)

Integral number in file \(84\)

Sympy [F(-2)]

Exception generated. \[ \int \frac {\coth ^3\left (a+b \log \left (c x^n\right )\right )}{x} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(coth(a+b*ln(c*x**n))**3/x,x)

[Out]

Exception raised: TypeError >> Invalid NaN comparison

input file name 6_Hyperbolic_functions/6.4_Hyperbolic_cotangent/6.4.2_Hyperbolic_cotangent_functions.txt

Test file number \(175\)

Integral number in file \(191\)

Sympy [F(-2)]

Exception generated. \[ \int \frac {\coth ^4\left (a+b \log \left (c x^n\right )\right )}{x} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(coth(a+b*ln(c*x**n))**4/x,x)

[Out]

Exception raised: TypeError >> Invalid NaN comparison

input file name 6_Hyperbolic_functions/6.4_Hyperbolic_cotangent/6.4.2_Hyperbolic_cotangent_functions.txt

Test file number \(175\)

Integral number in file \(192\)

Sympy [F(-2)]

Exception generated. \[ \int \frac {\coth ^5\left (a+b \log \left (c x^n\right )\right )}{x} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(coth(a+b*ln(c*x**n))**5/x,x)

[Out]

Exception raised: TypeError >> Invalid NaN comparison

input file name 6_Hyperbolic_functions/6.4_Hyperbolic_cotangent/6.4.2_Hyperbolic_cotangent_functions.txt

Test file number \(175\)

Integral number in file \(193\)

Sympy [F(-2)]

Exception generated. \[ \int x^m \cosh (a+b x) \sinh (a+b x) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x**m*cosh(b*x+a)*sinh(b*x+a),x)

[Out]

Exception raised: TypeError >> cannot determine truth value of Relational

input file name 6_Hyperbolic_functions/6.7_Miscellaneous/6.7.1_Hyperbolic_functions.txt

Test file number \(185\)

Integral number in file \(250\)

Sympy [F(-2)]

Exception generated. \[ \int x^2 \left (d+c^2 d x^2\right )^{3/2} (a+b \text {arcsinh}(c x))^n \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

integrate(x**2*(c**2*d*x**2+d)**(3/2)*(a+b*asinh(c*x))**n,x)

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsinh-c_x-^n.txt

Test file number \(187\)

Integral number in file \(517\)

Sympy [F(-2)]

Exception generated. \[ \int \left (a+i b \arcsin \left (1-i d x^2\right )\right )^4 \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a+b*asinh(I+d*x**2))**4,x)

[Out]

Exception raised: TypeError >> Invalid comparison of non-real I

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.5_Inverse_hyperbolic_sine_functions.txt

Test file number \(188\)

Integral number in file \(314\)

Sympy [F(-2)]

Exception generated. \[ \int \left (a+i b \arcsin \left (1-i d x^2\right )\right )^3 \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a+b*asinh(I+d*x**2))**3,x)

[Out]

Exception raised: TypeError >> Invalid comparison of non-real I

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.5_Inverse_hyperbolic_sine_functions.txt

Test file number \(188\)

Integral number in file \(315\)

Sympy [F(-2)]

Exception generated. \[ \int \left (a+i b \arcsin \left (1-i d x^2\right )\right )^2 \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a+b*asinh(I+d*x**2))**2,x)

[Out]

Exception raised: TypeError >> Invalid comparison of non-real I

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.5_Inverse_hyperbolic_sine_functions.txt

Test file number \(188\)

Integral number in file \(316\)

Sympy [F(-2)]

Exception generated. \[ \int \left (a+i b \arcsin \left (1-i d x^2\right )\right ) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(a+b*asinh(I+d*x**2),x)

[Out]

Exception raised: TypeError >> Invalid comparison of non-real I

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.5_Inverse_hyperbolic_sine_functions.txt

Test file number \(188\)

Integral number in file \(317\)