Integrals 301 to 400

2.4.4 Integrals 301 to 400

2.4.4.1 Sympy [F(-2)]

Exception generated. \[ \int \frac {(g+h x)^m}{\left (a+b \log \left (c \left (d (e+f x)^p\right )^q\right )\right )^2} \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

integrate((h*x+g)**m/(a+b*ln(c*(d*(f*x+e)**p)**q))**2,x)

[Out]

Exception raised: HeuristicGCDFailed >> no luck

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 \(508\)

2.4.4.2 Sympy [F(-2)]

Exception generated. \[ \int (g+h x)^m \sqrt {a+b \log \left (c \left (d (e+f x)^p\right )^q\right )} \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

integrate((h*x+g)**m*(a+b*ln(c*(d*(f*x+e)**p)**q))**(1/2),x)

[Out]

Exception raised: HeuristicGCDFailed >> no luck

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 \(510\)

2.4.4.3 Sympy [F(-2)]

Exception generated. \[ \int \frac {(g+h x)^m}{\left (a+b \log \left (c \left (d (e+f x)^p\right )^q\right )\right )^{3/2}} \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

integrate((h*x+g)**m/(a+b*ln(c*(d*(f*x+e)**p)**q))**(3/2),x)

[Out]

Exception raised: HeuristicGCDFailed >> no luck

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 \(512\)

2.4.4.4 Sympy [F(-2)]

Exception generated. \[ \int (g+h x)^m \left (a+b \log \left (c \left (d (e+f x)^p\right )^q\right )\right )^n \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

integrate((h*x+g)**m*(a+b*ln(c*(d*(f*x+e)**p)**q))**n,x)

[Out]

Exception raised: HeuristicGCDFailed >> no luck

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 \(513\)

2.4.4.5 Sympy [F(-2)]

Exception generated. \[ \int (f x)^{-1-n} \log \left (c \left (d+e x^n\right )^p\right ) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((f*x)**(-1-n)*ln(c*(d+e*x**n)**p),x)

[Out]

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

input ﬁle name 3_Logarithms/3.4_u-a+b_log-c-d+e_x^m-^n-^p.txt

Test ﬁle number \(63\)

Integral number in ﬁle \(68\)

2.4.4.6 Sympy [F(-2)]

Exception generated. \[ \int (f x)^{-1-2 n} \log \left (c \left (d+e x^n\right )^p\right ) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((f*x)**(-1-2*n)*ln(c*(d+e*x**n)**p),x)

[Out]

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

input ﬁle name 3_Logarithms/3.4_u-a+b_log-c-d+e_x^m-^n-^p.txt

Test ﬁle number \(63\)

Integral number in ﬁle \(69\)

2.4.4.7 Sympy [F(-2)]

Exception generated. \[ \int (d+e x)^m \log \left (c (a+b x)^p\right ) \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

integrate((e*x+d)**m*ln(c*(b*x+a)**p),x)

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 3_Logarithms/3.4_u-a+b_log-c-d+e_x^m-^n-^p.txt

Test ﬁle number \(63\)

Integral number in ﬁle \(208\)

2.4.4.8 Sympy [F(-2)]

Exception generated. \[ \int \frac {\log \left (c \left (d+e x^n\right )^p\right )}{x \left (f+g x^{-n}\right )} \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

integrate(ln(c*(d+e*x**n)**p)/x/(f+g/(x**n)),x)

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 3_Logarithms/3.4_u-a+b_log-c-d+e_x^m-^n-^p.txt

Test ﬁle number \(63\)

Integral number in ﬁle \(372\)

2.4.4.9 Sympy [F(-2)]

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

[In]

integrate(ln(c*(d+e*x**n))/x/(c*e+(c*d-1)/(x**n)),x)

[Out]

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

input ﬁle name 3_Logarithms/3.4_u-a+b_log-c-d+e_x^m-^n-^p.txt

Test ﬁle number \(63\)

Integral number in ﬁle \(378\)

2.4.4.10 Sympy [F(-2)]

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

[In]

integrate(x**(-1+n)*ln(c*(d+e*x**n))/(-1+c*d+c*e*x**n),x)

[Out]

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

input ﬁle name 3_Logarithms/3.4_u-a+b_log-c-d+e_x^m-^n-^p.txt

Test ﬁle number \(63\)

Integral number in ﬁle \(379\)

2.4.4.11 Sympy [F(-2)]

Exception generated. \[ \int \frac {\left (f+g x^n\right )^2 \log ^q\left (c \left (d+e x^n\right )^p\right )}{x} \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

integrate((f+g*x**n)**2*ln(c*(d+e*x**n)**p)**q/x,x)

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 3_Logarithms/3.4_u-a+b_log-c-d+e_x^m-^n-^p.txt

Test ﬁle number \(63\)

Integral number in ﬁle \(382\)

2.4.4.12 Sympy [F(-2)]

Exception generated. \[ \int \frac {\log ^q\left (c \left (d+e x^n\right )^p\right )}{x \left (f+g x^{-n}\right )} \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

integrate(ln(c*(d+e*x**n)**p)**q/x/(f+g/(x**n)),x)

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 3_Logarithms/3.4_u-a+b_log-c-d+e_x^m-^n-^p.txt

Test ﬁle number \(63\)

Integral number in ﬁle \(387\)

2.4.4.13 Sympy [F(-2)]

Exception generated. \[ \int \frac {\log (x) \log \left (d+e x^m\right )}{x} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(ln(x)*ln(d+e*x**m)/x,x)

[Out]

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

input ﬁle name 3_Logarithms/3.4_u-a+b_log-c-d+e_x^m-^n-^p.txt

Test ﬁle number \(63\)

Integral number in ﬁle \(389\)

2.4.4.14 Sympy [F(-2)]

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

[In]

integrate((a+b*ln(c*(d+e/x**(1/3))**n))/x**3,x)

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 3_Logarithms/3.4_u-a+b_log-c-d+e_x^m-^n-^p.txt

Test ﬁle number \(63\)

Integral number in ﬁle \(495\)

2.4.4.15 Sympy [F(-2)]

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

[In]

integrate((g*x+f)*(a+b*ln(c*(e*x**2+d)**p))/(h*x)**(1/2),x)

[Out]

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

input ﬁle name 3_Logarithms/3.4_u-a+b_log-c-d+e_x^m-^n-^p.txt

Test ﬁle number \(63\)

Integral number in ﬁle \(606\)

2.4.4.16 Sympy [F(-2)]

Exception generated. \[ \int \frac {(f+g x) \left (a+b \log \left (c \left (d+e x^2\right )^p\right )\right )}{(h x)^{3/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((g*x+f)*(a+b*ln(c*(e*x**2+d)**p))/(h*x)**(3/2),x)

[Out]

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

input ﬁle name 3_Logarithms/3.4_u-a+b_log-c-d+e_x^m-^n-^p.txt

Test ﬁle number \(63\)

Integral number in ﬁle \(607\)

2.4.4.17 Sympy [F(-2)]

Exception generated. \[ \int \frac {(f+g x) \left (a+b \log \left (c \left (d+e x^2\right )^p\right )\right )}{(h x)^{5/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((g*x+f)*(a+b*ln(c*(e*x**2+d)**p))/(h*x)**(5/2),x)

[Out]

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

input ﬁle name 3_Logarithms/3.4_u-a+b_log-c-d+e_x^m-^n-^p.txt

Test ﬁle number \(63\)

Integral number in ﬁle \(608\)

2.4.4.18 Sympy [F(-2)]

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

[In]

integrate((g*x+f)**2*(a+b*ln(c*(e*x**2+d)**p))/(h*x)**(1/2),x)

[Out]

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

input ﬁle name 3_Logarithms/3.4_u-a+b_log-c-d+e_x^m-^n-^p.txt

Test ﬁle number \(63\)

Integral number in ﬁle \(611\)

2.4.4.19 Sympy [F(-2)]

Exception generated. \[ \int \frac {(f+g x)^2 \left (a+b \log \left (c \left (d+e x^2\right )^p\right )\right )}{(h x)^{3/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((g*x+f)**2*(a+b*ln(c*(e*x**2+d)**p))/(h*x)**(3/2),x)

[Out]

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

input ﬁle name 3_Logarithms/3.4_u-a+b_log-c-d+e_x^m-^n-^p.txt

Test ﬁle number \(63\)

Integral number in ﬁle \(612\)

2.4.4.20 Sympy [F(-2)]

Exception generated. \[ \int \frac {(f+g x)^2 \left (a+b \log \left (c \left (d+e x^2\right )^p\right )\right )}{(h x)^{5/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((g*x+f)**2*(a+b*ln(c*(e*x**2+d)**p))/(h*x)**(5/2),x)

[Out]

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

input ﬁle name 3_Logarithms/3.4_u-a+b_log-c-d+e_x^m-^n-^p.txt

Test ﬁle number \(63\)

Integral number in ﬁle \(613\)

2.4.4.21 Sympy [F(-2)]

Exception generated. \[ \int \frac {\log \left (f x^p\right ) \log \left (1+e x^m\right )}{x} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(ln(f*x**p)*ln(1+e*x**m)/x,x)

[Out]

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

input ﬁle name 3_Logarithms/3.4_u-a+b_log-c-d+e_x^m-^n-^p.txt

Test ﬁle number \(63\)

Integral number in ﬁle \(619\)

2.4.4.22 Sympy [F(-2)]

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

[In]

integrate(ln(f*x**p)*(a+b*ln(c*(d+e*x**m)**n))/x,x)

[Out]

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

input ﬁle name 3_Logarithms/3.4_u-a+b_log-c-d+e_x^m-^n-^p.txt

Test ﬁle number \(63\)

Integral number in ﬁle \(623\)

2.4.4.23 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 3_Logarithms/3.5_Logarithm_functions.txt

Test ﬁle number \(64\)

Integral number in ﬁle \(28\)

2.4.4.24 Sympy [F(-2)]

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

[In]

integrate(ln(2*x*(e*x+d*(-e/d)**(1/2))/(e*x**2+d))/(e*x**2+d),x)

[Out]

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

input ﬁle name 3_Logarithms/3.5_Logarithm_functions.txt

Test ﬁle number \(64\)

Integral number in ﬁle \(40\)

2.4.4.25 Sympy [F(-2)]

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

[In]

integrate(ln(-2*x*(-e*x+d*(-e/d)**(1/2))/(e*x**2+d))/(e*x**2+d),x)

[Out]

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

input ﬁle name 3_Logarithms/3.5_Logarithm_functions.txt

Test ﬁle number \(64\)

Integral number in ﬁle \(41\)

2.4.4.26 Sympy [F(-2)]

Exception generated. \[ \int \frac {\log \left (\frac {2 x \left (\frac {d \sqrt {e}}{\sqrt {-d}}+e x\right )}{d+e x^2}\right )}{d+e x^2} \, dx=\text {Exception raised: AttributeError} \]

[In]

integrate(ln(2*x*(e*x+d*e**(1/2)/(-d)**(1/2))/(e*x**2+d))/(e*x**2+d),x)

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input ﬁle name 3_Logarithms/3.5_Logarithm_functions.txt

Test ﬁle number \(64\)

Integral number in ﬁle \(42\)

2.4.4.27 Sympy [F(-2)]

Exception generated. \[ \int \frac {\log \left (-\frac {2 x \left (\frac {d \sqrt {e}}{\sqrt {-d}}-e x\right )}{d+e x^2}\right )}{d+e x^2} \, dx=\text {Exception raised: AttributeError} \]

[In]

integrate(ln(-2*x*(-e*x+d*e**(1/2)/(-d)**(1/2))/(e*x**2+d))/(e*x**2+d),x)

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input ﬁle name 3_Logarithms/3.5_Logarithm_functions.txt

Test ﬁle number \(64\)

Integral number in ﬁle \(43\)

2.4.4.28 Sympy [F(-2)]

Exception generated. \[ \int \frac {\log \left (\frac {2 x \left (\sqrt {d} \sqrt {-e}+e x\right )}{d+e x^2}\right )}{d+e x^2} \, dx=\text {Exception raised: AttributeError} \]

[In]

integrate(ln(2*x*(e*x+d**(1/2)*(-e)**(1/2))/(e*x**2+d))/(e*x**2+d),x)

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input ﬁle name 3_Logarithms/3.5_Logarithm_functions.txt

Test ﬁle number \(64\)

Integral number in ﬁle \(44\)

2.4.4.29 Sympy [F(-2)]

Exception generated. \[ \int \frac {\log \left (-\frac {2 x \left (\sqrt {d} \sqrt {-e}-e x\right )}{d+e x^2}\right )}{d+e x^2} \, dx=\text {Exception raised: AttributeError} \]

[In]

integrate(ln(-2*x*(-e*x+d**(1/2)*(-e)**(1/2))/(e*x**2+d))/(e*x**2+d),x)

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input ﬁle name 3_Logarithms/3.5_Logarithm_functions.txt

Test ﬁle number \(64\)

Integral number in ﬁle \(45\)

2.4.4.30 Sympy [F(-2)]

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

[In]

integrate(ln(x**2+x+1)**2,x)

[Out]

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

input ﬁle name 3_Logarithms/3.5_Logarithm_functions.txt

Test ﬁle number \(64\)

Integral number in ﬁle \(99\)

2.4.4.31 Sympy [F(-2)]

Exception generated. \[ \int \frac {\log ^2\left (-1+x+x^2\right )}{x^3} \, dx=\text {Exception raised: RecursionError} \]

[In]

integrate(ln(x**2+x-1)**2/x**3,x)

[Out]

Exception raised: RecursionError >> maximum recursion depth exceeded while calling a Python object

input ﬁle name 3_Logarithms/3.5_Logarithm_functions.txt

Test ﬁle number \(64\)

Integral number in ﬁle \(100\)

2.4.4.32 Sympy [F(-2)]

Exception generated. \[ \int \sin (a+b x) \tan ^2(a+b x) \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

integrate(sec(b*x+a)**2*sin(b*x+a)**3,x)

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 4_Trig_functions/4.1_Sine/4.1.0-a_sin-^m-b_trg-^n.txt

Test ﬁle number \(65\)

Integral number in ﬁle \(72\)

2.4.4.33 Sympy [F(-2)]

Exception generated. \[ \int \sin ^3(a+b x) \tan ^2(a+b x) \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

integrate(sec(b*x+a)**2*sin(b*x+a)**5,x)

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 4_Trig_functions/4.1_Sine/4.1.0-a_sin-^m-b_trg-^n.txt

Test ﬁle number \(65\)

Integral number in ﬁle \(106\)

2.4.4.34 Sympy [F(-2)]

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

[In]

integrate(sin(d*x+c)**3/(f*x+e)/(a+a*sin(d*x+c)),x)

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 4_Trig_functions/4.1_Sine/4.1.10-c+d_x-^m-a+b_sin-^n.txt

Test ﬁle number \(66\)

Integral number in ﬁle \(195\)

2.4.4.35 Sympy [F(-2)]

Exception generated. \[ \int \frac {\cos ^3(c+d x)}{(e+f x) (a+a \sin (c+d x))} \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

integrate(cos(d*x+c)**3/(f*x+e)/(a+a*sin(d*x+c)),x)

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 4_Trig_functions/4.1_Sine/4.1.10-c+d_x-^m-a+b_sin-^n.txt

Test ﬁle number \(66\)

Integral number in ﬁle \(267\)

2.4.4.36 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 4_Trig_functions/4.1_Sine/4.1.2.1-a+b_sin-^m-c+d_sin-^n.txt

Test ﬁle number \(73\)

Integral number in ﬁle \(801\)

2.4.4.37 Sympy [F(-2)]

Exception generated. \[ \int \frac {\cos ^7(c+d x) \sin ^n(c+d x)}{(a+a \sin (c+d x))^4} \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

integrate(cos(d*x+c)**7*sin(d*x+c)**n/(a+a*sin(d*x+c))**4,x)

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 4_Trig_functions/4.1_Sine/4.1.2.2-g_cos-^p-a+b_sin-^m-c+d_sin-^n.txt

Test ﬁle number \(74\)

Integral number in ﬁle \(703\)

2.4.4.38 Sympy [F(-2)]

Exception generated. \[ \int \frac {\cos ^4(e+f x) (c+d \sin (e+f x))^n}{(a+a \sin (e+f x))^2} \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

integrate(cos(f*x+e)**4*(c+d*sin(f*x+e))**n/(a+a*sin(f*x+e))**2,x)

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 4_Trig_functions/4.1_Sine/4.1.2.2-g_cos-^p-a+b_sin-^m-c+d_sin-^n.txt

Test ﬁle number \(74\)

Integral number in ﬁle \(949\)

2.4.4.39 Sympy [F(-2)]

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

[In]

integrate(cos(f*x+e)**2*(c+d*sin(f*x+e))**n/(a+b*sin(f*x+e))**2,x)

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 4_Trig_functions/4.1_Sine/4.1.2.2-g_cos-^p-a+b_sin-^m-c+d_sin-^n.txt

Test ﬁle number \(74\)

Integral number in ﬁle \(1527\)

2.4.4.40 Sympy [F(-2)]

Exception generated. \[ \int (a+b \sin (e+f x))^m (A+B \sin (e+f x)) (c+d \sin (e+f x))^n \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

integrate((a+b*sin(f*x+e))**m*(A+B*sin(f*x+e))*(c+d*sin(f*x+e))**n,x)

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 4_Trig_functions/4.1_Sine/4.1.3.1-a+b_sin-^m-c+d_sin-^n-A+B_sin-.txt

Test ﬁle number \(76\)

Integral number in ﬁle \(358\)

2.4.4.41 Sympy [F(-2)]

Exception generated. \[ \int \frac {\cos ^2(c+d x)}{(a+b \tan (c+d x))^3} \, dx=\text {Exception raised: AttributeError} \]

[In]

integrate(cos(d*x+c)**2/(a+b*tan(d*x+c))**3,x)

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.1.2-d_sec-^m-a+b_tan-^n.txt

Test ﬁle number \(101\)

Integral number in ﬁle \(570\)

2.4.4.42 Sympy [F(-2)]

Exception generated. \[ \int \frac {\cos ^4(c+d x)}{(a+b \tan (c+d x))^3} \, dx=\text {Exception raised: AttributeError} \]

[In]

integrate(cos(d*x+c)**4/(a+b*tan(d*x+c))**3,x)

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.1.2-d_sec-^m-a+b_tan-^n.txt

Test ﬁle number \(101\)

Integral number in ﬁle \(571\)

2.4.4.43 Sympy [F(-2)]

Exception generated. \[ \int \frac {\sin ^6(c+d x)}{(a+b \tan (c+d x))^3} \, dx=\text {Exception raised: AttributeError} \]

[In]

integrate(sin(d*x+c)**6/(a+b*tan(d*x+c))**3,x)

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.1.3-d_sin-^m-a+b_tan-^n.txt

Test ﬁle number \(102\)

Integral number in ﬁle \(67\)

2.4.4.44 Sympy [F(-2)]

Exception generated. \[ \int \frac {\sin ^4(c+d x)}{(a+b \tan (c+d x))^3} \, dx=\text {Exception raised: AttributeError} \]

[In]

integrate(sin(d*x+c)**4/(a+b*tan(d*x+c))**3,x)

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.1.3-d_sin-^m-a+b_tan-^n.txt

Test ﬁle number \(102\)

Integral number in ﬁle \(68\)

2.4.4.45 Sympy [F(-2)]

Exception generated. \[ \int \frac {\sin ^2(c+d x)}{(a+b \tan (c+d x))^3} \, dx=\text {Exception raised: AttributeError} \]

[In]

integrate(sin(d*x+c)**2/(a+b*tan(d*x+c))**3,x)

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.1.3-d_sin-^m-a+b_tan-^n.txt

Test ﬁle number \(102\)

Integral number in ﬁle \(69\)

2.4.4.46 Sympy [F(-2)]

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

[In]

integrate(sin(d*x+c)**4/(a+b*tan(d*x+c))**4,x)

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.1.3-d_sin-^m-a+b_tan-^n.txt

Test ﬁle number \(102\)

Integral number in ﬁle \(73\)

2.4.4.47 Sympy [F(-2)]

Exception generated. \[ \int \frac {\sin ^2(c+d x)}{(a+b \tan (c+d x))^4} \, dx=\text {Exception raised: AttributeError} \]

[In]

integrate(sin(d*x+c)**2/(a+b*tan(d*x+c))**4,x)

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.1.3-d_sin-^m-a+b_tan-^n.txt

Test ﬁle number \(102\)

Integral number in ﬁle \(74\)

2.4.4.48 Sympy [F(-2)]

Exception generated. \[ \int \frac {\tan ^6(c+d x)}{(a+b \tan (c+d x))^3} \, dx=\text {Exception raised: AttributeError} \]

[In]

integrate(tan(d*x+c)**6/(a+b*tan(d*x+c))**3,x)

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number \(103\)

Integral number in ﬁle \(477\)

2.4.4.49 Sympy [F(-2)]

Exception generated. \[ \int \frac {\tan ^5(c+d x)}{(a+b \tan (c+d x))^3} \, dx=\text {Exception raised: AttributeError} \]

[In]

integrate(tan(d*x+c)**5/(a+b*tan(d*x+c))**3,x)

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number \(103\)

Integral number in ﬁle \(478\)

2.4.4.50 Sympy [F(-2)]

Exception generated. \[ \int \frac {\tan ^4(c+d x)}{(a+b \tan (c+d x))^3} \, dx=\text {Exception raised: AttributeError} \]

[In]

integrate(tan(d*x+c)**4/(a+b*tan(d*x+c))**3,x)

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number \(103\)

Integral number in ﬁle \(479\)

2.4.4.51 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number \(103\)

Integral number in ﬁle \(480\)

2.4.4.52 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number \(103\)

Integral number in ﬁle \(481\)

2.4.4.53 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number \(103\)

Integral number in ﬁle \(482\)

2.4.4.54 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number \(103\)

Integral number in ﬁle \(483\)

2.4.4.55 Sympy [F(-2)]

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

[In]

integrate(cot(d*x+c)/(a+b*tan(d*x+c))**3,x)

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number \(103\)

Integral number in ﬁle \(484\)

2.4.4.56 Sympy [F(-2)]

Exception generated. \[ \int \frac {\cot ^2(c+d x)}{(a+b \tan (c+d x))^3} \, dx=\text {Exception raised: AttributeError} \]

[In]

integrate(cot(d*x+c)**2/(a+b*tan(d*x+c))**3,x)

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number \(103\)

Integral number in ﬁle \(485\)

2.4.4.57 Sympy [F(-2)]

Exception generated. \[ \int \frac {\tan ^6(c+d x)}{(a+b \tan (c+d x))^4} \, dx=\text {Exception raised: AttributeError} \]

[In]

integrate(tan(d*x+c)**6/(a+b*tan(d*x+c))**4,x)

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number \(103\)

Integral number in ﬁle \(486\)

2.4.4.58 Sympy [F(-2)]

Exception generated. \[ \int \frac {\tan ^5(c+d x)}{(a+b \tan (c+d x))^4} \, dx=\text {Exception raised: AttributeError} \]

[In]

integrate(tan(d*x+c)**5/(a+b*tan(d*x+c))**4,x)

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number \(103\)

Integral number in ﬁle \(487\)

2.4.4.59 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number \(103\)

Integral number in ﬁle \(488\)

2.4.4.60 Sympy [F(-2)]

Exception generated. \[ \int \frac {\tan ^3(c+d x)}{(a+b \tan (c+d x))^4} \, dx=\text {Exception raised: AttributeError} \]

[In]

integrate(tan(d*x+c)**3/(a+b*tan(d*x+c))**4,x)

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number \(103\)

Integral number in ﬁle \(489\)

2.4.4.61 Sympy [F(-2)]

Exception generated. \[ \int \frac {\tan ^2(c+d x)}{(a+b \tan (c+d x))^4} \, dx=\text {Exception raised: AttributeError} \]

[In]

integrate(tan(d*x+c)**2/(a+b*tan(d*x+c))**4,x)

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number \(103\)

Integral number in ﬁle \(490\)

2.4.4.62 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number \(103\)

Integral number in ﬁle \(491\)

2.4.4.63 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number \(103\)

Integral number in ﬁle \(492\)

2.4.4.64 Sympy [F(-2)]

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

[In]

integrate(cot(d*x+c)/(a+b*tan(d*x+c))**4,x)

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number \(103\)

Integral number in ﬁle \(493\)

2.4.4.65 Sympy [F(-2)]

Exception generated. \[ \int \frac {\cot ^2(c+d x)}{(a+b \tan (c+d x))^4} \, dx=\text {Exception raised: AttributeError} \]

[In]

integrate(cot(d*x+c)**2/(a+b*tan(d*x+c))**4,x)

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number \(103\)

Integral number in ﬁle \(494\)

2.4.4.66 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number \(103\)

Integral number in ﬁle \(1196\)

2.4.4.67 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number \(103\)

Integral number in ﬁle \(1202\)

2.4.4.68 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number \(103\)

Integral number in ﬁle \(1208\)

2.4.4.69 Sympy [F(-2)]

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

[In]

integrate(1/(a+b*tan(f*x+e))**2/(c+d*tan(f*x+e)),x)

[Out]

Exception raised: NotImplementedError >> no valid subset found

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number \(103\)

Integral number in ﬁle \(1214\)

2.4.4.70 Sympy [F(-2)]

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

[In]

integrate(1/(a+b*tan(f*x+e))**3/(c+d*tan(f*x+e)),x)

[Out]

Exception raised: NotImplementedError >> no valid subset found

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number \(103\)

Integral number in ﬁle \(1215\)

2.4.4.71 Sympy [F(-2)]

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

[In]

integrate(1/(a+b*tan(f*x+e))/(c+d*tan(f*x+e))**2,x)

[Out]

Exception raised: NotImplementedError >> no valid subset found

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number \(103\)

Integral number in ﬁle \(1220\)

2.4.4.72 Sympy [F(-2)]

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

[In]

integrate(1/(a+b*tan(f*x+e))**2/(c+d*tan(f*x+e))**2,x)

[Out]

Exception raised: NotImplementedError >> no valid subset found

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number \(103\)

Integral number in ﬁle \(1221\)

2.4.4.73 Sympy [F(-2)]

Exception generated. \[ \int \frac {(a+b \tan (e+f x))^4}{(c+d \tan (e+f x))^3} \, dx=\text {Exception raised: AttributeError} \]

[In]

integrate((a+b*tan(f*x+e))**4/(c+d*tan(f*x+e))**3,x)

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number \(103\)

Integral number in ﬁle \(1223\)

2.4.4.74 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number \(103\)

Integral number in ﬁle \(1224\)

2.4.4.75 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number \(103\)

Integral number in ﬁle \(1225\)

2.4.4.76 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number \(103\)

Integral number in ﬁle \(1226\)

2.4.4.77 Sympy [F(-2)]

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

[In]

integrate(1/(a+b*tan(f*x+e))/(c+d*tan(f*x+e))**3,x)

[Out]

Exception raised: NotImplementedError >> no valid subset found

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number \(103\)

Integral number in ﬁle \(1227\)

2.4.4.78 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number \(103\)

Integral number in ﬁle \(1304\)

2.4.4.79 Sympy [F(-2)]

Exception generated. \[ \int \frac {A+B \tan (c+d x)}{\sqrt {\tan (c+d x)} (a+i a \tan (c+d x))} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((A+B*tan(d*x+c))/tan(d*x+c)**(1/2)/(a+I*a*tan(d*x+c)),x)

[Out]

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

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test ﬁle number \(104\)

Integral number in ﬁle \(137\)

2.4.4.80 Sympy [F(-2)]

Exception generated. \[ \int \frac {A+B \tan (c+d x)}{\tan ^{\frac {3}{2}}(c+d x) (a+i a \tan (c+d x))} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((A+B*tan(d*x+c))/tan(d*x+c)**(3/2)/(a+I*a*tan(d*x+c)),x)

[Out]

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

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test ﬁle number \(104\)

Integral number in ﬁle \(138\)

2.4.4.81 Sympy [F(-2)]

Exception generated. \[ \int \frac {A+B \tan (c+d x)}{\sqrt {\tan (c+d x)} (a+i a \tan (c+d x))^2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((A+B*tan(d*x+c))/tan(d*x+c)**(1/2)/(a+I*a*tan(d*x+c))**2,x)

[Out]

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

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test ﬁle number \(104\)

Integral number in ﬁle \(143\)

2.4.4.82 Sympy [F(-2)]

Exception generated. \[ \int \frac {A+B \tan (c+d x)}{\tan ^{\frac {3}{2}}(c+d x) (a+i a \tan (c+d x))^2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((A+B*tan(d*x+c))/tan(d*x+c)**(3/2)/(a+I*a*tan(d*x+c))**2,x)

[Out]

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

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test ﬁle number \(104\)

Integral number in ﬁle \(144\)

2.4.4.83 Sympy [F(-2)]

Exception generated. \[ \int \frac {A+B \tan (c+d x)}{\sqrt {\tan (c+d x)} (a+i a \tan (c+d x))^3} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((A+B*tan(d*x+c))/tan(d*x+c)**(1/2)/(a+I*a*tan(d*x+c))**3,x)

[Out]

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

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test ﬁle number \(104\)

Integral number in ﬁle \(151\)

2.4.4.84 Sympy [F(-2)]

Exception generated. \[ \int \frac {A+B \tan (c+d x)}{\tan ^{\frac {3}{2}}(c+d x) (a+i a \tan (c+d x))^3} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((A+B*tan(d*x+c))/tan(d*x+c)**(3/2)/(a+I*a*tan(d*x+c))**3,x)

[Out]

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

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test ﬁle number \(104\)

Integral number in ﬁle \(152\)

2.4.4.85 Sympy [F(-2)]

Exception generated. \[ \int \frac {\tan ^4(c+d x) (A+B \tan (c+d x))}{(a+b \tan (c+d x))^3} \, dx=\text {Exception raised: AttributeError} \]

[In]

integrate(tan(d*x+c)**4*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))**3,x)

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test ﬁle number \(104\)

Integral number in ﬁle \(282\)

2.4.4.86 Sympy [F(-2)]

Exception generated. \[ \int \frac {\tan ^3(c+d x) (A+B \tan (c+d x))}{(a+b \tan (c+d x))^3} \, dx=\text {Exception raised: AttributeError} \]

[In]

integrate(tan(d*x+c)**3*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))**3,x)

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test ﬁle number \(104\)

Integral number in ﬁle \(283\)

2.4.4.87 Sympy [F(-2)]

Exception generated. \[ \int \frac {\tan ^2(c+d x) (A+B \tan (c+d x))}{(a+b \tan (c+d x))^3} \, dx=\text {Exception raised: AttributeError} \]

[In]

integrate(tan(d*x+c)**2*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))**3,x)

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test ﬁle number \(104\)

Integral number in ﬁle \(284\)

2.4.4.88 Sympy [F(-2)]

Exception generated. \[ \int \frac {\tan (c+d x) (A+B \tan (c+d x))}{(a+b \tan (c+d x))^3} \, dx=\text {Exception raised: AttributeError} \]

[In]

integrate(tan(d*x+c)*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))**3,x)

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test ﬁle number \(104\)

Integral number in ﬁle \(285\)

2.4.4.89 Sympy [F(-2)]

Exception generated. \[ \int \frac {A+B \tan (c+d x)}{(a+b \tan (c+d x))^3} \, dx=\text {Exception raised: AttributeError} \]

[In]

integrate((A+B*tan(d*x+c))/(a+b*tan(d*x+c))**3,x)

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test ﬁle number \(104\)

Integral number in ﬁle \(286\)

2.4.4.90 Sympy [F(-2)]

Exception generated. \[ \int \frac {\cot (c+d x) (A+B \tan (c+d x))}{(a+b \tan (c+d x))^3} \, dx=\text {Exception raised: AttributeError} \]

[In]

integrate(cot(d*x+c)*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))**3,x)

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test ﬁle number \(104\)

Integral number in ﬁle \(287\)

2.4.4.91 Sympy [F(-2)]

Exception generated. \[ \int \frac {\cot ^2(c+d x) (A+B \tan (c+d x))}{(a+b \tan (c+d x))^3} \, dx=\text {Exception raised: AttributeError} \]

[In]

integrate(cot(d*x+c)**2*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))**3,x)

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test ﬁle number \(104\)

Integral number in ﬁle \(288\)

2.4.4.92 Sympy [F(-2)]

Exception generated. \[ \int \frac {\cot ^3(c+d x) (A+B \tan (c+d x))}{(a+b \tan (c+d x))^3} \, dx=\text {Exception raised: AttributeError} \]

[In]

integrate(cot(d*x+c)**3*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))**3,x)

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test ﬁle number \(104\)

Integral number in ﬁle \(289\)

2.4.4.93 Sympy [F(-2)]

Exception generated. \[ \int \frac {\tan ^4(c+d x) (A+B \tan (c+d x))}{(a+b \tan (c+d x))^4} \, dx=\text {Exception raised: AttributeError} \]

[In]

integrate(tan(d*x+c)**4*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))**4,x)

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test ﬁle number \(104\)

Integral number in ﬁle \(290\)

2.4.4.94 Sympy [F(-2)]

Exception generated. \[ \int \frac {\tan ^3(c+d x) (A+B \tan (c+d x))}{(a+b \tan (c+d x))^4} \, dx=\text {Exception raised: AttributeError} \]

[In]

integrate(tan(d*x+c)**3*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))**4,x)

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test ﬁle number \(104\)

Integral number in ﬁle \(291\)

2.4.4.95 Sympy [F(-2)]

Exception generated. \[ \int \frac {\tan ^2(c+d x) (A+B \tan (c+d x))}{(a+b \tan (c+d x))^4} \, dx=\text {Exception raised: AttributeError} \]

[In]

integrate(tan(d*x+c)**2*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))**4,x)

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test ﬁle number \(104\)

Integral number in ﬁle \(292\)

2.4.4.96 Sympy [F(-2)]

Exception generated. \[ \int \frac {\tan (c+d x) (A+B \tan (c+d x))}{(a+b \tan (c+d x))^4} \, dx=\text {Exception raised: AttributeError} \]

[In]

integrate(tan(d*x+c)*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))**4,x)

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test ﬁle number \(104\)

Integral number in ﬁle \(293\)

2.4.4.97 Sympy [F(-2)]

Exception generated. \[ \int \frac {A+B \tan (c+d x)}{(a+b \tan (c+d x))^4} \, dx=\text {Exception raised: AttributeError} \]

[In]

integrate((A+B*tan(d*x+c))/(a+b*tan(d*x+c))**4,x)

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test ﬁle number \(104\)

Integral number in ﬁle \(294\)

2.4.4.98 Sympy [F(-2)]

Exception generated. \[ \int \frac {\cot (c+d x) (A+B \tan (c+d x))}{(a+b \tan (c+d x))^4} \, dx=\text {Exception raised: AttributeError} \]

[In]

integrate(cot(d*x+c)*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))**4,x)

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test ﬁle number \(104\)

Integral number in ﬁle \(295\)

2.4.4.99 Sympy [F(-2)]

Exception generated. \[ \int \frac {\cot ^2(c+d x) (A+B \tan (c+d x))}{(a+b \tan (c+d x))^4} \, dx=\text {Exception raised: AttributeError} \]

[In]

integrate(cot(d*x+c)**2*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))**4,x)

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test ﬁle number \(104\)

Integral number in ﬁle \(296\)

2.4.4.100 Sympy [F(-2)]

Exception generated. \[ \int \frac {\cot ^3(c+d x) (A+B \tan (c+d x))}{(a+b \tan (c+d x))^4} \, dx=\text {Exception raised: AttributeError} \]

[In]

integrate(cot(d*x+c)**3*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))**4,x)

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test ﬁle number \(104\)

Integral number in ﬁle \(297\)

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