Exception generated. \[ \int \frac {x^{-1-3 n}}{b x^n+c x^{2 n}} \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.2-d_x-^m-a+b_x^n+c_x^-2_n-^p.txt
Test file number \(46\)
Integral number in file \(499\)
Exception generated. \[ \int \frac {1+\left (1+\sqrt {3}\right ) x^4}{1-x^4+x^8} \, dx=\text {Exception raised: PolynomialError} \]
[In]
[Out]
input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.3-d+e_x^n-^q-a+b_x^n+c_x^-2_n-^p.txt
Test file number \(47\)
Integral number in file \(32\)
Exception generated. \[ \int \frac {3-2 \sqrt {3}+\left (-3+\sqrt {3}\right ) x^4}{1-x^4+x^8} \, dx=\text {Exception raised: PolynomialError} \]
[In]
[Out]
input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.3-d+e_x^n-^q-a+b_x^n+c_x^-2_n-^p.txt
Test file number \(47\)
Integral number in file \(33\)
Exception generated. \[ \int \frac {1}{\left (d+e x^n\right ) \left (a+c x^{2 n}\right )} \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.3-d+e_x^n-^q-a+b_x^n+c_x^-2_n-^p.txt
Test file number \(47\)
Integral number in file \(45\)
Exception generated. \[ \int \frac {1}{\left (d+e x^n\right )^2 \left (a+c x^{2 n}\right )} \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.3-d+e_x^n-^q-a+b_x^n+c_x^-2_n-^p.txt
Test file number \(47\)
Integral number in file \(46\)
Exception generated. \[ \int \frac {\left (a+c x^{2 n}\right )^p}{d+e x^n} \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.3-d+e_x^n-^q-a+b_x^n+c_x^-2_n-^p.txt
Test file number \(47\)
Integral number in file \(63\)
Exception generated. \[ \int \frac {1}{\left (d+e x^n\right ) \left (a+b x^n+c x^{2 n}\right )} \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.3-d+e_x^n-^q-a+b_x^n+c_x^-2_n-^p.txt
Test file number \(47\)
Integral number in file \(72\)
Exception generated. \[ \int \frac {1}{\left (d+e x^n\right )^2 \left (a+b x^n+c x^{2 n}\right )} \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.3-d+e_x^n-^q-a+b_x^n+c_x^-2_n-^p.txt
Test file number \(47\)
Integral number in file \(73\)
Exception generated. \[ \int \frac {1}{\left (d+e x^n\right )^3 \left (a+b x^n+c x^{2 n}\right )} \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.3-d+e_x^n-^q-a+b_x^n+c_x^-2_n-^p.txt
Test file number \(47\)
Integral number in file \(74\)
Exception generated. \[ \int \frac {(f x)^m \left (d+e x^n\right )^q}{a+b x^n+c x^{2 n}} \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.4-f_x-^m-d+e_x^n-^q-a+b_x^n+c_x^-2_n-^p.txt
Test file number \(48\)
Integral number in file \(145\)
Exception generated. \[ \int \frac {x^2 \left (d+e x^n\right )^q}{a+b x^n+c x^{2 n}} \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.4-f_x-^m-d+e_x^n-^q-a+b_x^n+c_x^-2_n-^p.txt
Test file number \(48\)
Integral number in file \(146\)
Exception generated. \[ \int \frac {x \left (d+e x^n\right )^q}{a+b x^n+c x^{2 n}} \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.4-f_x-^m-d+e_x^n-^q-a+b_x^n+c_x^-2_n-^p.txt
Test file number \(48\)
Integral number in file \(147\)
Exception generated. \[ \int \frac {\left (d+e x^n\right )^q}{x^2 \left (a+b x^n+c x^{2 n}\right )} \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.4-f_x-^m-d+e_x^n-^q-a+b_x^n+c_x^-2_n-^p.txt
Test file number \(48\)
Integral number in file \(150\)
Exception generated. \[ \int \frac {(f x)^m \left (a+b x^n+c x^{2 n}\right )^p}{d+e x^n} \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.4-f_x-^m-d+e_x^n-^q-a+b_x^n+c_x^-2_n-^p.txt
Test file number \(48\)
Integral number in file \(155\)
Exception generated. \[ \int \frac {(f x)^m \left (a+b x^n+c x^{2 n}\right )^p}{\left (d+e x^n\right )^2} \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.4-f_x-^m-d+e_x^n-^q-a+b_x^n+c_x^-2_n-^p.txt
Test file number \(48\)
Integral number in file \(156\)
Exception generated. \[ \int \left (d+e x+f \sqrt {a+b x+\frac {e^2 x^2}{f^2}}\right )^n \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt
Test file number \(52\)
Integral number in file \(472\)
Exception generated. \[ \int \left (a+x^2\right )^{5/2} \left (x+\sqrt {a+x^2}\right )^n \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt
Test file number \(52\)
Integral number in file \(495\)
Exception generated. \[ \int \left (a+x^2\right )^{5/2} \left (x-\sqrt {a+x^2}\right )^n \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt
Test file number \(52\)
Integral number in file \(501\)
Exception generated. \[ \int \left (a+\frac {2 d e x}{f^2}+\frac {e^2 x^2}{f^2}\right )^2 \left (d+e x+f \sqrt {a+\frac {2 d e x}{f^2}+\frac {e^2 x^2}{f^2}}\right )^n \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt
Test file number \(52\)
Integral number in file \(507\)
Exception generated. \[ \int \left (a+\frac {2 d e x}{f^2}+\frac {e^2 x^2}{f^2}\right ) \left (d+e x+f \sqrt {a+\frac {2 d e x}{f^2}+\frac {e^2 x^2}{f^2}}\right )^n \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt
Test file number \(52\)
Integral number in file \(508\)
Exception generated. \[ \int \frac {\left (d+e x+f \sqrt {a+\frac {2 d e x}{f^2}+\frac {e^2 x^2}{f^2}}\right )^n}{a+\frac {2 d e x}{f^2}+\frac {e^2 x^2}{f^2}} \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt
Test file number \(52\)
Integral number in file \(510\)
Exception generated. \[ \int \frac {\left (d+e x+f \sqrt {a+\frac {2 d e x}{f^2}+\frac {e^2 x^2}{f^2}}\right )^n}{\left (a+\frac {2 d e x}{f^2}+\frac {e^2 x^2}{f^2}\right )^2} \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt
Test file number \(52\)
Integral number in file \(511\)
Exception generated. \[ \int \left (a+\frac {2 d e x}{f^2}+\frac {e^2 x^2}{f^2}\right )^{3/2} \left (d+e x+f \sqrt {a+\frac {2 d e x}{f^2}+\frac {e^2 x^2}{f^2}}\right )^n \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt
Test file number \(52\)
Integral number in file \(514\)
Exception generated. \[ \int \sqrt {a+\frac {2 d e x}{f^2}+\frac {e^2 x^2}{f^2}} \left (d+e x+f \sqrt {a+\frac {2 d e x}{f^2}+\frac {e^2 x^2}{f^2}}\right )^n \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt
Test file number \(52\)
Integral number in file \(515\)
Exception generated. \[ \int \frac {\left (d+e x+f \sqrt {a+\frac {2 d e x}{f^2}+\frac {e^2 x^2}{f^2}}\right )^n}{\left (a+\frac {2 d e x}{f^2}+\frac {e^2 x^2}{f^2}\right )^{3/2}} \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt
Test file number \(52\)
Integral number in file \(517\)
Exception generated. \[ \int \sqrt {a g+\frac {2 d e g x}{f^2}+\frac {e^2 g x^2}{f^2}} \left (d+e x+f \sqrt {a+\frac {2 d e x}{f^2}+\frac {e^2 x^2}{f^2}}\right )^n \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt
Test file number \(52\)
Integral number in file \(519\)
Exception generated. \[ \int \frac {\left (d+e x+f \sqrt {a+\frac {2 d e x}{f^2}+\frac {e^2 x^2}{f^2}}\right )^n}{\sqrt {a g+\frac {2 d e g x}{f^2}+\frac {e^2 g x^2}{f^2}}} \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt
Test file number \(52\)
Integral number in file \(520\)
Exception generated. \[ \int \frac {\left (d+e x+f \sqrt {a+\frac {2 d e x}{f^2}+\frac {e^2 x^2}{f^2}}\right )^n}{\left (a g+\frac {2 d e g x}{f^2}+\frac {e^2 g x^2}{f^2}\right )^{3/2}} \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt
Test file number \(52\)
Integral number in file \(521\)
Exception generated. \[ \int F^{c (a+b x)} \left (d^2+2 d e x+e^2 x^2\right )^{-m} \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 2_Exponentials/2.1_u-F^-c-a+b_x-^n.txt
Test file number \(53\)
Integral number in file \(25\)
Exception generated. \[ \int a^x b^{-x} \, dx=\text {Exception raised: TypeError} \]
[In]
[Out]
input file name 2_Exponentials/2.3_Exponential_functions.txt
Test file number \(55\)
Integral number in file \(570\)
Exception generated. \[ \int F^{f \left (a+b \log ^2\left (c (d+e x)^n\right )\right )} (g+h x)^m \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 2_Exponentials/2.3_Exponential_functions.txt
Test file number \(55\)
Integral number in file \(594\)
Exception generated. \[ \int F^{f \left (a+b \log \left (c (d+e x)^n\right )\right )^2} (g+h x)^m \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 2_Exponentials/2.3_Exponential_functions.txt
Test file number \(55\)
Integral number in file \(609\)
Exception generated. \[ \int \frac {x^{-1+n} \log \left (e x^n\right )}{1-e x^n} \, dx=\text {Exception raised: TypeError} \]
[In]
[Out]
input file name 3_Logarithms/3.1.4-f_x-^m-d+e_x^r-^q-a+b_log-c_x^n-^p.txt
Test file number \(57\)
Integral number in file \(345\)
Exception generated. \[ \int \frac {x^{-1+n} \log \left (\frac {x^n}{d}\right )}{d-x^n} \, dx=\text {Exception raised: TypeError} \]
[In]
[Out]
input file name 3_Logarithms/3.1.4-f_x-^m-d+e_x^r-^q-a+b_log-c_x^n-^p.txt
Test file number \(57\)
Integral number in file \(346\)
Exception generated. \[ \int \frac {x^{-1+n} \log \left (-\frac {e x^n}{d}\right )}{d+e x^n} \, dx=\text {Exception raised: TypeError} \]
[In]
[Out]
input file name 3_Logarithms/3.1.4-f_x-^m-d+e_x^r-^q-a+b_log-c_x^n-^p.txt
Test file number \(57\)
Integral number in file \(347\)
Exception generated. \[ \int \frac {a+b \log \left (c x^n\right )}{x \left (c-x^{-n}\right )} \, dx=\text {Exception raised: TypeError} \]
[In]
[Out]
input file name 3_Logarithms/3.1.4-f_x-^m-d+e_x^r-^q-a+b_log-c_x^n-^p.txt
Test file number \(57\)
Integral number in file \(420\)
Exception generated. \[ \int (f x)^m \left (d+e x^r\right )^3 \left (a+b \log \left (c x^n\right )\right ) \, dx=\text {Exception raised: TypeError} \]
[In]
[Out]
input file name 3_Logarithms/3.1.4-f_x-^m-d+e_x^r-^q-a+b_log-c_x^n-^p.txt
Test file number \(57\)
Integral number in file \(440\)
Exception generated. \[ \int (f x)^m \left (d+e x^r\right )^2 \left (a+b \log \left (c x^n\right )\right ) \, dx=\text {Exception raised: TypeError} \]
[In]
[Out]
input file name 3_Logarithms/3.1.4-f_x-^m-d+e_x^r-^q-a+b_log-c_x^n-^p.txt
Test file number \(57\)
Integral number in file \(441\)
Exception generated. \[ \int (f x)^m \left (d+e x^r\right ) \left (a+b \log \left (c x^n\right )\right ) \, dx=\text {Exception raised: TypeError} \]
[In]
[Out]
input file name 3_Logarithms/3.1.4-f_x-^m-d+e_x^r-^q-a+b_log-c_x^n-^p.txt
Test file number \(57\)
Integral number in file \(442\)
Exception generated. \[ \int \frac {\left (a+b \log \left (c x^n\right )\right )^4 \log \left (d \left (\frac {1}{d}+f x^m\right )\right )}{x} \, dx=\text {Exception raised: TypeError} \]
[In]
[Out]
input file name 3_Logarithms/3.1.5_u-a+b_log-c_x^n-^p.txt
Test file number \(58\)
Integral number in file \(64\)
Exception generated. \[ \int \frac {\left (a+b \log \left (c x^n\right )\right )^3 \log \left (d \left (\frac {1}{d}+f x^m\right )\right )}{x} \, dx=\text {Exception raised: TypeError} \]
[In]
[Out]
input file name 3_Logarithms/3.1.5_u-a+b_log-c_x^n-^p.txt
Test file number \(58\)
Integral number in file \(65\)
Exception generated. \[ \int \frac {\left (a+b \log \left (c x^n\right )\right )^2 \log \left (d \left (\frac {1}{d}+f x^m\right )\right )}{x} \, dx=\text {Exception raised: TypeError} \]
[In]
[Out]
input file name 3_Logarithms/3.1.5_u-a+b_log-c_x^n-^p.txt
Test file number \(58\)
Integral number in file \(66\)
Exception generated. \[ \int \frac {\left (a+b \log \left (c x^n\right )\right ) \log \left (d \left (\frac {1}{d}+f x^m\right )\right )}{x} \, dx=\text {Exception raised: TypeError} \]
[In]
[Out]
input file name 3_Logarithms/3.1.5_u-a+b_log-c_x^n-^p.txt
Test file number \(58\)
Integral number in file \(67\)
Exception generated. \[ \int \frac {\left (a+b \log \left (c x^n\right )\right )^3 \log \left (d \left (e+f x^m\right )^r\right )}{x} \, dx=\text {Exception raised: TypeError} \]
[In]
[Out]
input file name 3_Logarithms/3.1.5_u-a+b_log-c_x^n-^p.txt
Test file number \(58\)
Integral number in file \(139\)
Exception generated. \[ \int \frac {\left (a+b \log \left (c x^n\right )\right )^2 \log \left (d \left (e+f x^m\right )^r\right )}{x} \, dx=\text {Exception raised: TypeError} \]
[In]
[Out]
input file name 3_Logarithms/3.1.5_u-a+b_log-c_x^n-^p.txt
Test file number \(58\)
Integral number in file \(140\)
Exception generated. \[ \int \frac {\left (a+b \log \left (c x^n\right )\right ) \log \left (d \left (e+f x^m\right )^r\right )}{x} \, dx=\text {Exception raised: TypeError} \]
[In]
[Out]
input file name 3_Logarithms/3.1.5_u-a+b_log-c_x^n-^p.txt
Test file number \(58\)
Integral number in file \(141\)
Exception generated. \[ \int \frac {\left (a+b \log \left (c x^n\right )\right ) \log \left (d \left (e+f x^m\right )^k\right )}{x} \, dx=\text {Exception raised: TypeError} \]
[In]
[Out]
input file name 3_Logarithms/3.1.5_u-a+b_log-c_x^n-^p.txt
Test file number \(58\)
Integral number in file \(147\)
Exception generated. \[ \int (a+b x)^4 \left (A+B \log \left (e (a+b x)^n (c+d x)^{-n}\right )\right ) \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 3_Logarithms/3.2.1-f+g_x-^m-A+B_log-e-a+b_x-over-c+d_x-^n-^p.txt
Test file number \(59\)
Integral number in file \(147\)
Exception generated. \[ \int (a+b x)^3 \left (A+B \log \left (e (a+b x)^n (c+d x)^{-n}\right )\right ) \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 3_Logarithms/3.2.1-f+g_x-^m-A+B_log-e-a+b_x-over-c+d_x-^n-^p.txt
Test file number \(59\)
Integral number in file \(148\)
Exception generated. \[ \int (a+b x)^2 \left (A+B \log \left (e (a+b x)^n (c+d x)^{-n}\right )\right ) \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 3_Logarithms/3.2.1-f+g_x-^m-A+B_log-e-a+b_x-over-c+d_x-^n-^p.txt
Test file number \(59\)
Integral number in file \(149\)
Exception generated. \[ \int (a+b x) \left (A+B \log \left (e (a+b x)^n (c+d x)^{-n}\right )\right ) \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 3_Logarithms/3.2.1-f+g_x-^m-A+B_log-e-a+b_x-over-c+d_x-^n-^p.txt
Test file number \(59\)
Integral number in file \(150\)
Exception generated. \[ \int (a+b x)^3 \left (A+B \log \left (e (a+b x)^n (c+d x)^{-n}\right )\right )^2 \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 3_Logarithms/3.2.1-f+g_x-^m-A+B_log-e-a+b_x-over-c+d_x-^n-^p.txt
Test file number \(59\)
Integral number in file \(156\)
Exception generated. \[ \int (a+b x)^2 \left (A+B \log \left (e (a+b x)^n (c+d x)^{-n}\right )\right )^2 \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 3_Logarithms/3.2.1-f+g_x-^m-A+B_log-e-a+b_x-over-c+d_x-^n-^p.txt
Test file number \(59\)
Integral number in file \(157\)
Exception generated. \[ \int (a+b x) \left (A+B \log \left (e (a+b x)^n (c+d x)^{-n}\right )\right )^2 \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 3_Logarithms/3.2.1-f+g_x-^m-A+B_log-e-a+b_x-over-c+d_x-^n-^p.txt
Test file number \(59\)
Integral number in file \(158\)
Exception generated. \[ \int (a+b x)^3 \left (A+B \log \left (e (a+b x)^n (c+d x)^{-n}\right )\right )^3 \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 3_Logarithms/3.2.1-f+g_x-^m-A+B_log-e-a+b_x-over-c+d_x-^n-^p.txt
Test file number \(59\)
Integral number in file \(164\)
Exception generated. \[ \int (a+b x)^2 \left (A+B \log \left (e (a+b x)^n (c+d x)^{-n}\right )\right )^3 \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 3_Logarithms/3.2.1-f+g_x-^m-A+B_log-e-a+b_x-over-c+d_x-^n-^p.txt
Test file number \(59\)
Integral number in file \(165\)
Exception generated. \[ \int (a+b x) \left (A+B \log \left (e (a+b x)^n (c+d x)^{-n}\right )\right )^3 \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 3_Logarithms/3.2.1-f+g_x-^m-A+B_log-e-a+b_x-over-c+d_x-^n-^p.txt
Test file number \(59\)
Integral number in file \(166\)
Exception generated. \[ \int (g+h x)^4 \left (A+B \log \left (e (a+b x)^n (c+d x)^{-n}\right )\right ) \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 3_Logarithms/3.2.1-f+g_x-^m-A+B_log-e-a+b_x-over-c+d_x-^n-^p.txt
Test file number \(59\)
Integral number in file \(293\)
Exception generated. \[ \int (g+h x)^3 \left (A+B \log \left (e (a+b x)^n (c+d x)^{-n}\right )\right ) \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 3_Logarithms/3.2.1-f+g_x-^m-A+B_log-e-a+b_x-over-c+d_x-^n-^p.txt
Test file number \(59\)
Integral number in file \(294\)
Exception generated. \[ \int (g+h x)^2 \left (A+B \log \left (e (a+b x)^n (c+d x)^{-n}\right )\right ) \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 3_Logarithms/3.2.1-f+g_x-^m-A+B_log-e-a+b_x-over-c+d_x-^n-^p.txt
Test file number \(59\)
Integral number in file \(295\)
Exception generated. \[ \int (g+h x) \left (A+B \log \left (e (a+b x)^n (c+d x)^{-n}\right )\right ) \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 3_Logarithms/3.2.1-f+g_x-^m-A+B_log-e-a+b_x-over-c+d_x-^n-^p.txt
Test file number \(59\)
Integral number in file \(296\)
Exception generated. \[ \int \left (A+B \log \left (e (a+b x)^n (c+d x)^{-n}\right )\right ) \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 3_Logarithms/3.2.1-f+g_x-^m-A+B_log-e-a+b_x-over-c+d_x-^n-^p.txt
Test file number \(59\)
Integral number in file \(297\)
Exception generated. \[ \int \frac {A+B \log \left (e (a+b x)^n (c+d x)^{-n}\right )}{g+h x} \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 3_Logarithms/3.2.1-f+g_x-^m-A+B_log-e-a+b_x-over-c+d_x-^n-^p.txt
Test file number \(59\)
Integral number in file \(298\)
Exception generated. \[ \int (g+h x)^2 \left (A+B \log \left (e (a+b x)^n (c+d x)^{-n}\right )\right )^2 \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 3_Logarithms/3.2.1-f+g_x-^m-A+B_log-e-a+b_x-over-c+d_x-^n-^p.txt
Test file number \(59\)
Integral number in file \(303\)
Exception generated. \[ \int (g+h x) \left (A+B \log \left (e (a+b x)^n (c+d x)^{-n}\right )\right )^2 \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 3_Logarithms/3.2.1-f+g_x-^m-A+B_log-e-a+b_x-over-c+d_x-^n-^p.txt
Test file number \(59\)
Integral number in file \(304\)
Exception generated. \[ \int \left (A+B \log \left (e (a+b x)^n (c+d x)^{-n}\right )\right )^2 \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 3_Logarithms/3.2.1-f+g_x-^m-A+B_log-e-a+b_x-over-c+d_x-^n-^p.txt
Test file number \(59\)
Integral number in file \(305\)
Exception generated. \[ \int \frac {\left (A+B \log \left (e (a+b x)^n (c+d x)^{-n}\right )\right )^2}{g+h x} \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 3_Logarithms/3.2.1-f+g_x-^m-A+B_log-e-a+b_x-over-c+d_x-^n-^p.txt
Test file number \(59\)
Integral number in file \(306\)
Exception generated. \[ \int (g+h x)^2 \left (A+B \log \left (e (a+b x)^n (c+d x)^{-n}\right )\right )^3 \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 3_Logarithms/3.2.1-f+g_x-^m-A+B_log-e-a+b_x-over-c+d_x-^n-^p.txt
Test file number \(59\)
Integral number in file \(309\)
Exception generated. \[ \int (g+h x) \left (A+B \log \left (e (a+b x)^n (c+d x)^{-n}\right )\right )^3 \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 3_Logarithms/3.2.1-f+g_x-^m-A+B_log-e-a+b_x-over-c+d_x-^n-^p.txt
Test file number \(59\)
Integral number in file \(310\)
Exception generated. \[ \int \left (A+B \log \left (e (a+b x)^n (c+d x)^{-n}\right )\right )^3 \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 3_Logarithms/3.2.1-f+g_x-^m-A+B_log-e-a+b_x-over-c+d_x-^n-^p.txt
Test file number \(59\)
Integral number in file \(311\)
Exception generated. \[ \int \frac {\left (A+B \log \left (e (a+b x)^n (c+d x)^{-n}\right )\right )^3}{g+h x} \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 3_Logarithms/3.2.1-f+g_x-^m-A+B_log-e-a+b_x-over-c+d_x-^n-^p.txt
Test file number \(59\)
Integral number in file \(312\)
Exception generated. \[ \int (a g+b g x)^m (c i+d i x)^{-2-m} \left (A+B \log \left (e \left (\frac {a+b x}{c+d x}\right )^n\right )\right )^3 \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 3_Logarithms/3.2.2-f+g_x-^m-h+i_x-^q-A+B_log-e-a+b_x-over-c+d_x-^n-^p.txt
Test file number \(60\)
Integral number in file \(212\)
Exception generated. \[ \int (a g+b g x)^m (c i+d i x)^{-2-m} \left (A+B \log \left (e \left (\frac {a+b x}{c+d x}\right )^n\right )\right )^2 \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 3_Logarithms/3.2.2-f+g_x-^m-h+i_x-^q-A+B_log-e-a+b_x-over-c+d_x-^n-^p.txt
Test file number \(60\)
Integral number in file \(213\)
Exception generated. \[ \int (a g+b g x)^m (c i+d i x)^{-2-m} \left (A+B \log \left (e \left (\frac {a+b x}{c+d x}\right )^n\right )\right ) \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 3_Logarithms/3.2.2-f+g_x-^m-h+i_x-^q-A+B_log-e-a+b_x-over-c+d_x-^n-^p.txt
Test file number \(60\)
Integral number in file \(214\)
Exception generated. \[ \int \frac {(a g+b g x)^m (c i+d i x)^{-2-m}}{A+B \log \left (e \left (\frac {a+b x}{c+d x}\right )^n\right )} \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 3_Logarithms/3.2.2-f+g_x-^m-h+i_x-^q-A+B_log-e-a+b_x-over-c+d_x-^n-^p.txt
Test file number \(60\)
Integral number in file \(215\)
Exception generated. \[ \int \frac {(a g+b g x)^m (c i+d i x)^{-2-m}}{\left (A+B \log \left (e \left (\frac {a+b x}{c+d x}\right )^n\right )\right )^2} \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 3_Logarithms/3.2.2-f+g_x-^m-h+i_x-^q-A+B_log-e-a+b_x-over-c+d_x-^n-^p.txt
Test file number \(60\)
Integral number in file \(216\)
Exception generated. \[ \int (a g+b g x)^{-2-m} (c i+d i x)^m \left (A+B \log \left (e \left (\frac {a+b x}{c+d x}\right )^n\right )\right )^3 \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 3_Logarithms/3.2.2-f+g_x-^m-h+i_x-^q-A+B_log-e-a+b_x-over-c+d_x-^n-^p.txt
Test file number \(60\)
Integral number in file \(218\)
Exception generated. \[ \int (a g+b g x)^{-2-m} (c i+d i x)^m \left (A+B \log \left (e \left (\frac {a+b x}{c+d x}\right )^n\right )\right )^2 \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 3_Logarithms/3.2.2-f+g_x-^m-h+i_x-^q-A+B_log-e-a+b_x-over-c+d_x-^n-^p.txt
Test file number \(60\)
Integral number in file \(219\)
Exception generated. \[ \int (a g+b g x)^{-2-m} (c i+d i x)^m \left (A+B \log \left (e \left (\frac {a+b x}{c+d x}\right )^n\right )\right ) \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 3_Logarithms/3.2.2-f+g_x-^m-h+i_x-^q-A+B_log-e-a+b_x-over-c+d_x-^n-^p.txt
Test file number \(60\)
Integral number in file \(220\)
Exception generated. \[ \int \frac {(a g+b g x)^{-2-m} (c i+d i x)^m}{A+B \log \left (e \left (\frac {a+b x}{c+d x}\right )^n\right )} \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 3_Logarithms/3.2.2-f+g_x-^m-h+i_x-^q-A+B_log-e-a+b_x-over-c+d_x-^n-^p.txt
Test file number \(60\)
Integral number in file \(221\)
Exception generated. \[ \int \frac {(a g+b g x)^{-2-m} (c i+d i x)^m}{\left (A+B \log \left (e \left (\frac {a+b x}{c+d x}\right )^n\right )\right )^2} \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 3_Logarithms/3.2.2-f+g_x-^m-h+i_x-^q-A+B_log-e-a+b_x-over-c+d_x-^n-^p.txt
Test file number \(60\)
Integral number in file \(222\)
Exception generated. \[ \int \frac {\log \left (e \left (f (a+b x)^p (c+d x)^q\right )^r\right )}{(a+b x)^2} \, dx=\text {Exception raised: NotImplementedError} \]
[In]
[Out]
input file name 3_Logarithms/3.2.3_u_log-e-f-a+b_x-^p-c+d_x-^q-^r-^s.txt
Test file number \(61\)
Integral number in file \(12\)
Exception generated. \[ \int \frac {\log \left (1-\frac {a+b x}{c+d x}\right )}{(a+b x) (c+d x) \log ^2\left (\frac {a+b x}{c+d x}\right )} \, dx=\text {Exception raised: TypeError} \]
[In]
[Out]
input file name 3_Logarithms/3.2.3_u_log-e-f-a+b_x-^p-c+d_x-^q-^r-^s.txt
Test file number \(61\)
Integral number in file \(72\)
Exception generated. \[ \int \frac {\log \left (1-\frac {c+d x}{a+b x}\right )}{(a+b x) (c+d x) \log ^2\left (\frac {a+b x}{c+d x}\right )} \, dx=\text {Exception raised: TypeError} \]
[In]
[Out]
input file name 3_Logarithms/3.2.3_u_log-e-f-a+b_x-^p-c+d_x-^q-^r-^s.txt
Test file number \(61\)
Integral number in file \(73\)
Exception generated. \[ \int \left (\frac {1}{(c+d x) (-a+c+(-b+d) x) \log \left (\frac {a+b x}{c+d x}\right )}+\frac {\log \left (1-\frac {a+b x}{c+d x}\right )}{(a+b x) (c+d x) \log ^2\left (\frac {a+b x}{c+d x}\right )}\right ) \, dx=\text {Exception raised: TypeError} \]
[In]
[Out]
input file name 3_Logarithms/3.2.3_u_log-e-f-a+b_x-^p-c+d_x-^q-^r-^s.txt
Test file number \(61\)
Integral number in file \(74\)
Exception generated. \[ \int \left (-\frac {1}{(a+b x) (a-c+(b-d) x) \log \left (\frac {a+b x}{c+d x}\right )}+\frac {\log \left (1-\frac {c+d x}{a+b x}\right )}{(a+b x) (c+d x) \log ^2\left (\frac {a+b x}{c+d x}\right )}\right ) \, dx=\text {Exception raised: TypeError} \]
[In]
[Out]
input file name 3_Logarithms/3.2.3_u_log-e-f-a+b_x-^p-c+d_x-^q-^r-^s.txt
Test file number \(61\)
Integral number in file \(75\)
Exception generated. \[ \int \frac {a+b \log \left (c (d+e x)^n\right )}{(f+g x)^4} \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 3_Logarithms/3.3_u-a+b_log-c-d+e_x-^n-^p.txt
Test file number \(62\)
Integral number in file \(43\)
Exception generated. \[ \int \frac {\left (a+b \log \left (c (d+e x)^n\right )\right )^2}{(f+g x)^{5/2}} \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 3_Logarithms/3.3_u-a+b_log-c-d+e_x-^n-^p.txt
Test file number \(62\)
Integral number in file \(149\)
Exception generated. \[ \int (f+g x)^m \left (a+b \log \left (c (d+e x)^n\right )\right ) \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 3_Logarithms/3.3_u-a+b_log-c-d+e_x-^n-^p.txt
Test file number \(62\)
Integral number in file \(162\)
Exception generated. \[ \int \frac {(f+g x)^m}{\left (a+b \log \left (c (d+e x)^n\right )\right )^2} \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 3_Logarithms/3.3_u-a+b_log-c-d+e_x-^n-^p.txt
Test file number \(62\)
Integral number in file \(164\)
Exception generated. \[ \int (f+g x)^m \sqrt {a+b \log \left (c (d+e x)^n\right )} \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 3_Logarithms/3.3_u-a+b_log-c-d+e_x-^n-^p.txt
Test file number \(62\)
Integral number in file \(166\)
Exception generated. \[ \int \frac {(f+g x)^m}{\left (a+b \log \left (c (d+e x)^n\right )\right )^{3/2}} \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 3_Logarithms/3.3_u-a+b_log-c-d+e_x-^n-^p.txt
Test file number \(62\)
Integral number in file \(168\)
Exception generated. \[ \int (f+g x)^m \left (a+b \log \left (c (d+e x)^n\right )\right )^n \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 3_Logarithms/3.3_u-a+b_log-c-d+e_x-^n-^p.txt
Test file number \(62\)
Integral number in file \(169\)
Exception generated. \[ \int \frac {a+b \log \left (c (d+e x)^n\right )}{(d+e x) (f+g x)^{3/2}} \, dx=\text {Exception raised: TypeError} \]
[In]
[Out]
input file name 3_Logarithms/3.3_u-a+b_log-c-d+e_x-^n-^p.txt
Test file number \(62\)
Integral number in file \(202\)
Exception generated. \[ \int \frac {a+b \log \left (c (d+e x)^n\right )}{(d+e x) (f+g x)^{5/2}} \, dx=\text {Exception raised: TypeError} \]
[In]
[Out]
input file name 3_Logarithms/3.3_u-a+b_log-c-d+e_x-^n-^p.txt
Test file number \(62\)
Integral number in file \(203\)
Exception generated. \[ \int \frac {\log \left (c \left (a-\frac {(d-a c d) x^{-m}}{c e}\right )\right )}{x \left (d+e x^m\right )} \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 3_Logarithms/3.3_u-a+b_log-c-d+e_x-^n-^p.txt
Test file number \(62\)
Integral number in file \(335\)
Exception generated. \[ \int \frac {\log \left (\frac {x^{-m} \left (-d+a c d+a c e x^m\right )}{e}\right )}{x \left (d+e x^m\right )} \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 3_Logarithms/3.3_u-a+b_log-c-d+e_x-^n-^p.txt
Test file number \(62\)
Integral number in file \(336\)
Exception generated. \[ \int \log \left (f x^m\right ) \left (a+b \log \left (c (d+e x)^n\right )\right )^p \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 3_Logarithms/3.3_u-a+b_log-c-d+e_x-^n-^p.txt
Test file number \(62\)
Integral number in file \(377\)
Exception generated. \[ \int \frac {\left (a+b \log \left (c (d+e x)^n\right )\right ) \log \left (\frac {e (f+g x)}{e f-d g}\right )}{d+e x} \, dx=\text {Exception raised: TypeError} \]
[In]
[Out]
input file name 3_Logarithms/3.3_u-a+b_log-c-d+e_x-^n-^p.txt
Test file number \(62\)
Integral number in file \(401\)
Exception generated. \[ \int (g+h x)^m \left (a+b \log \left (c \left (d (e+f x)^p\right )^q\right )\right ) \, dx=\text {Exception raised: HeuristicGCDFailed} \]
[In]
[Out]
input file name 3_Logarithms/3.3_u-a+b_log-c-d+e_x-^n-^p.txt
Test file number \(62\)
Integral number in file \(506\)