2.4.6 Integrals 501 to 600

2.4.6.1 Sympy [F(-2)]

Exception generated. $$\int \frac{x\arctan (ax)}{{(c+a^{2}c{x}^2)}^{5/2}}dx=\text{Exception raised: TypeError}$$

[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 $244$

2.4.6.2 Sympy [F(-2)]

Exception generated. $$\int \frac{\arctan (ax)}{x{(c+a^{2}c{x}^2)}^{5/2}}dx=\text{Exception raised: TypeError}$$

[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 $246$

2.4.6.3 Sympy [F(-2)]

Exception generated. $$\int \frac{x^m{(c+a^{2}c{x}^2)}^{5/2}}{\arctan (ax{)}^2}dx=\text{Exception raised: HeuristicGCDFailed}$$

[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 $604$

2.4.6.4 Sympy [F(-2)]

Exception generated. $$\int \frac{x^m{(c+a^{2}c{x}^2)}^{5/2}}{\arctan (ax{)}^3}dx=\text{Exception raised: HeuristicGCDFailed}$$

[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 $680$

2.4.6.5 Sympy [F(-2)]

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

[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 $1292$

2.4.6.6 Sympy [F(-2)]

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

[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 $1294$

2.4.6.7 Sympy [F(-2)]

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

[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 $1296$

2.4.6.8 Sympy [F(-2)]

Exception generated. $$\int x^2\arctan (c+(1+ic)\tan (a+bx))dx=\text{Exception raised: CoercionFailed}$$

[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 $52$

2.4.6.9 Sympy [F(-2)]

Exception generated. $$\int x\arctan (c+(1+ic)\tan (a+bx))dx=\text{Exception raised: CoercionFailed}$$

[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 $53$

2.4.6.10 Sympy [F(-2)]

Exception generated. $$\int \arctan (c+(1+ic)\tan (a+bx))dx=\text{Exception raised: CoercionFailed}$$

[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 $54$

2.4.6.11 Sympy [F(-2)]

Exception generated. $$\int x^2\arctan (c+(-1+ic)\tan (a+bx))dx=\text{Exception raised: CoercionFailed}$$

[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 $56$

2.4.6.12 Sympy [F(-2)]

Exception generated. $$\int x\arctan (c+(-1+ic)\tan (a+bx))dx=\text{Exception raised: CoercionFailed}$$

[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 $57$

2.4.6.13 Sympy [F(-2)]

Exception generated. $$\int \arctan (c+(-1+ic)\tan (a+bx))dx=\text{Exception raised: CoercionFailed}$$

[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 $58$

2.4.6.14 Sympy [F(-2)]

Exception generated. $$\int x^2\arctan (c+(1-ic)\cot (a+bx))dx=\text{Exception raised: CoercionFailed}$$

[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 $65$

2.4.6.15 Sympy [F(-2)]

Exception generated. $$\int x\arctan (c+(1-ic)\cot (a+bx))dx=\text{Exception raised: CoercionFailed}$$

[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 $66$

2.4.6.16 Sympy [F(-2)]

Exception generated. $$\int \arctan (c+(1-ic)\cot (a+bx))dx=\text{Exception raised: CoercionFailed}$$

[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 $67$

2.4.6.17 Sympy [F(-2)]

Exception generated. $$\int x^2\arctan (c+(-1-ic)\cot (a+bx))dx=\text{Exception raised: CoercionFailed}$$

[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 $69$

2.4.6.18 Sympy [F(-2)]

Exception generated. $$\int x\arctan (c+(-1-ic)\cot (a+bx))dx=\text{Exception raised: CoercionFailed}$$

[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 $70$

2.4.6.19 Sympy [F(-2)]

Exception generated. $$\int \arctan (c+(-1-ic)\cot (a+bx))dx=\text{Exception raised: CoercionFailed}$$

[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 $71$

2.4.6.20 Sympy [F(-2)]

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

[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 $85$

2.4.6.21 Sympy [F(-2)]

Exception generated. $$\int x\arctan (c+(i+c)\tanh (a+bx))dx=\text{Exception raised: CoercionFailed}$$

[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 $86$

2.4.6.22 Sympy [F(-2)]

Exception generated. $$\int \arctan (c+(i+c)\tanh (a+bx))dx=\text{Exception raised: CoercionFailed}$$

[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 $87$

2.4.6.23 Sympy [F(-2)]

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

[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 $89$

2.4.6.24 Sympy [F(-2)]

Exception generated. $$\int x\arctan (c-(i-c)\tanh (a+bx))dx=\text{Exception raised: CoercionFailed}$$

[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 $90$

2.4.6.25 Sympy [F(-2)]

Exception generated. $$\int \arctan (c-(i-c)\tanh (a+bx))dx=\text{Exception raised: CoercionFailed}$$

[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 $91$

2.4.6.26 Sympy [F(-2)]

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

[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 $102$

2.4.6.27 Sympy [F(-2)]

Exception generated. $$\int x\arctan (c+(i+c)\coth (a+bx))dx=\text{Exception raised: CoercionFailed}$$

[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 $103$

2.4.6.28 Sympy [F(-2)]

Exception generated. $$\int \arctan (c+(i+c)\coth (a+bx))dx=\text{Exception raised: CoercionFailed}$$

[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 $104$

2.4.6.29 Sympy [F(-2)]

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

[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 $106$

2.4.6.30 Sympy [F(-2)]

Exception generated. $$\int x\arctan (c-(i-c)\coth (a+bx))dx=\text{Exception raised: CoercionFailed}$$

[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 $107$

2.4.6.31 Sympy [F(-2)]

Exception generated. $$\int \arctan (c-(i-c)\coth (a+bx))dx=\text{Exception raised: CoercionFailed}$$

[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 $108$

2.4.6.32 Sympy [F(-2)]

Exception generated. $$\int \frac{{\cot }^{-1}(x)}{{(1+x^2)}^2}dx=\text{Exception raised: RecursionError}$$

[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 $72$

2.4.6.33 Sympy [F(-2)]

Exception generated. $$\int x^2{\cot }^{-1}(c+(1+ic)\tan (a+bx))dx=\text{Exception raised: CoercionFailed}$$

[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 $162$

2.4.6.34 Sympy [F(-2)]

Exception generated. $$\int x{\cot }^{-1}(c+(1+ic)\tan (a+bx))dx=\text{Exception raised: CoercionFailed}$$

[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 $163$

2.4.6.35 Sympy [F(-2)]

Exception generated. $$\int {\cot }^{-1}(c+(1+ic)\tan (a+bx))dx=\text{Exception raised: CoercionFailed}$$

[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 $164$

2.4.6.36 Sympy [F(-2)]

Exception generated. $$\int x^2{\cot }^{-1}(c-(1-ic)\tan (a+bx))dx=\text{Exception raised: CoercionFailed}$$

[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 $166$

2.4.6.37 Sympy [F(-2)]

Exception generated. $$\int x{\cot }^{-1}(c-(1-ic)\tan (a+bx))dx=\text{Exception raised: CoercionFailed}$$

[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 $167$

2.4.6.38 Sympy [F(-2)]

Exception generated. $$\int {\cot }^{-1}(c-(1-ic)\tan (a+bx))dx=\text{Exception raised: CoercionFailed}$$

[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 $168$

2.4.6.39 Sympy [F(-2)]

Exception generated. $$\int x^2{\cot }^{-1}(c+(1-ic)\cot (a+bx))dx=\text{Exception raised: CoercionFailed}$$

[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 $175$

2.4.6.40 Sympy [F(-2)]

Exception generated. $$\int x{\cot }^{-1}(c+(1-ic)\cot (a+bx))dx=\text{Exception raised: CoercionFailed}$$

[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 $176$

2.4.6.41 Sympy [F(-2)]

Exception generated. $$\int {\cot }^{-1}(c+(1-ic)\cot (a+bx))dx=\text{Exception raised: CoercionFailed}$$

[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 $177$

2.4.6.42 Sympy [F(-2)]

Exception generated. $$\int x^2{\cot }^{-1}(c-(1+ic)\cot (a+bx))dx=\text{Exception raised: CoercionFailed}$$

[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 $179$

2.4.6.43 Sympy [F(-2)]

Exception generated. $$\int x{\cot }^{-1}(c-(1+ic)\cot (a+bx))dx=\text{Exception raised: CoercionFailed}$$

[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 $180$

2.4.6.44 Sympy [F(-2)]

Exception generated. $$\int {\cot }^{-1}(c-(1+ic)\cot (a+bx))dx=\text{Exception raised: CoercionFailed}$$

[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 $181$

2.4.6.45 Sympy [F(-2)]

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

[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 $192$

2.4.6.46 Sympy [F(-2)]

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

[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 $193$

2.4.6.47 Sympy [F(-2)]

Exception generated. $$\int {\cot }^{-1}(c+(i+c)\tanh (a+bx))dx=\text{Exception raised: CoercionFailed}$$

[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 $194$

2.4.6.48 Sympy [F(-2)]

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

[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 $196$

2.4.6.49 Sympy [F(-2)]

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

[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 $197$

2.4.6.50 Sympy [F(-2)]

Exception generated. $$\int {\cot }^{-1}(c-(i-c)\tanh (a+bx))dx=\text{Exception raised: CoercionFailed}$$

[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 $198$

2.4.6.51 Sympy [F(-2)]

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

[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 $209$

2.4.6.52 Sympy [F(-2)]

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

[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 $210$

2.4.6.53 Sympy [F(-2)]

Exception generated. $$\int {\cot }^{-1}(c+(i+c)\coth (a+bx))dx=\text{Exception raised: CoercionFailed}$$

[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 $211$

2.4.6.54 Sympy [F(-2)]

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

[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 $213$

2.4.6.55 Sympy [F(-2)]

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

[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 $214$

2.4.6.56 Sympy [F(-2)]

Exception generated. $$\int {\cot }^{-1}(c-(i-c)\coth (a+bx))dx=\text{Exception raised: CoercionFailed}$$

[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 $215$

2.4.6.57 Sympy [F(-2)]

Exception generated. $$\int (c+dx{)}^m\sinh (a+bx)dx=\text{Exception raised: TypeError}$$

[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 $75$

2.4.6.58 Sympy [F(-2)]

Exception generated. $$\int x^{3+m}\sinh (a+bx)dx=\text{Exception raised: TypeError}$$

[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 $78$

2.4.6.59 Sympy [F(-2)]

Exception generated. $$\int x^{2+m}\sinh (a+bx)dx=\text{Exception raised: TypeError}$$

[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 $79$

2.4.6.60 Sympy [F(-2)]

Exception generated. $$\int x^{1+m}\sinh (a+bx)dx=\text{Exception raised: TypeError}$$

[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 $80$

2.4.6.61 Sympy [F(-2)]

Exception generated. $$\int x^m\sinh (a+bx)dx=\text{Exception raised: TypeError}$$

[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 $81$

2.4.6.62 Sympy [F(-2)]

Exception generated. $$\int x^{-1+m}\sinh (a+bx)dx=\text{Exception raised: TypeError}$$

[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 $82$

2.4.6.63 Sympy [F(-2)]

Exception generated. $$\int x^{-2+m}\sinh (a+bx)dx=\text{Exception raised: TypeError}$$

[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 $83$

2.4.6.64 Sympy [F(-2)]

Exception generated. $$\int x^{-3+m}\sinh (a+bx)dx=\text{Exception raised: TypeError}$$

[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 $84$

2.4.6.65 Sympy [F(-2)]

Exception generated. $$\int (c+dx{)}^m(a+ia\sinh (e+fx){)}^{3}dx=\text{Exception raised: TypeError}$$

[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 $152$

2.4.6.66 Sympy [F(-2)]

Exception generated. $$\int (c+dx{)}^m(a+ia\sinh (e+fx){)}^{2}dx=\text{Exception raised: TypeError}$$

[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 $153$

2.4.6.67 Sympy [F(-2)]

Exception generated. $$\int (c+dx{)}^m(a+ia\sinh (e+fx))dx=\text{Exception raised: TypeError}$$

[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 $154$

2.4.6.68 Sympy [F(-2)]

Exception generated. $$\int (c+dx{)}^m(a+b\sinh (e+fx){)}^{3}dx=\text{Exception raised: TypeError}$$

[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 $182$

2.4.6.69 Sympy [F(-2)]

Exception generated. $$\int (c+dx{)}^m(a+b\sinh (e+fx){)}^{2}dx=\text{Exception raised: TypeError}$$

[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 $183$

2.4.6.70 Sympy [F(-2)]

Exception generated. $$\int (c+dx{)}^m(a+b\sinh (e+fx))dx=\text{Exception raised: TypeError}$$

[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 $184$

2.4.6.71 Sympy [F(-2)]

Exception generated. $$\int (c+dx{)}^m\cosh (a+bx)dx=\text{Exception raised: TypeError}$$

[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 $78$

2.4.6.72 Sympy [F(-2)]

Exception generated. $$\int x^{3+m}\cosh (a+bx)dx=\text{Exception raised: TypeError}$$

[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 $81$

2.4.6.73 Sympy [F(-2)]

Exception generated. $$\int x^{2+m}\cosh (a+bx)dx=\text{Exception raised: TypeError}$$

[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 $82$

2.4.6.74 Sympy [F(-2)]

Exception generated. $$\int x^{1+m}\cosh (a+bx)dx=\text{Exception raised: TypeError}$$

[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 $83$

2.4.6.75 Sympy [F(-2)]

Exception generated. $$\int x^m\cosh (a+bx)dx=\text{Exception raised: TypeError}$$

[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 $84$

2.4.6.76 Sympy [F(-2)]

Exception generated. $$\int x^{-1+m}\cosh (a+bx)dx=\text{Exception raised: TypeError}$$

[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 $85$

2.4.6.77 Sympy [F(-2)]

Exception generated. $$\int x^{-2+m}\cosh (a+bx)dx=\text{Exception raised: TypeError}$$

[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 $86$

2.4.6.78 Sympy [F(-2)]

Exception generated. $$\int x^{-3+m}\cosh (a+bx)dx=\text{Exception raised: TypeError}$$

[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 $87$

2.4.6.79 Sympy [F(-2)]

Exception generated. $$\int (c+dx{)}^m(a+a\cosh (e+fx){)}^{3}dx=\text{Exception raised: TypeError}$$

[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 $151$

2.4.6.80 Sympy [F(-2)]

Exception generated. $$\int (c+dx{)}^m(a+a\cosh (e+fx){)}^{2}dx=\text{Exception raised: TypeError}$$

[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 $152$

2.4.6.81 Sympy [F(-2)]

Exception generated. $$\int (c+dx{)}^m(a+a\cosh (e+fx))dx=\text{Exception raised: TypeError}$$

[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 $153$

2.4.6.82 Sympy [F(-2)]

Exception generated. $$\int (c+dx{)}^m(a+b\cosh (e+fx){)}^{3}dx=\text{Exception raised: TypeError}$$

[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 $179$

2.4.6.83 Sympy [F(-2)]

Exception generated. $$\int (c+dx{)}^m(a+b\cosh (e+fx){)}^{2}dx=\text{Exception raised: TypeError}$$

[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 $180$

2.4.6.84 Sympy [F(-2)]

Exception generated. $$\int (c+dx{)}^m(a+b\cosh (e+fx))dx=\text{Exception raised: TypeError}$$

[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 $181$

2.4.6.85 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 $70$

2.4.6.86 Sympy [F(-2)]

Exception generated. $$\int \frac{(c+dx{)}^3}{(a+b\coth (e+fx){)}^2}dx=\text{Exception raised: TypeError}$$

[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 $57$

2.4.6.87 Sympy [F(-2)]

Exception generated. $$\int \frac{(c+dx{)}^2}{(a+b\coth (e+fx){)}^2}dx=\text{Exception raised: TypeError}$$

[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 $58$

2.4.6.88 Sympy [F(-2)]

Exception generated. $$\int \frac{c+dx}{(a+b\coth (e+fx){)}^2}dx=\text{Exception raised: TypeError}$$

[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 $59$

2.4.6.89 Sympy [F(-2)]

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

[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 $82$

2.4.6.90 Sympy [F(-2)]

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

[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 $83$

2.4.6.91 Sympy [F(-2)]

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

[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 $84$

2.4.6.92 Sympy [F(-2)]

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

[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 $191$

2.4.6.93 Sympy [F(-2)]

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

[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 $192$

2.4.6.94 Sympy [F(-2)]

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

[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 $193$

2.4.6.95 Sympy [F(-2)]

Exception generated. $$\int x^m\cosh (a+bx)\sinh (a+bx)dx=\text{Exception raised: TypeError}$$

[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 $250$

2.4.6.96 Sympy [F(-2)]

Exception generated. $$\int x^2{(d+c^{2}d{x}^2)}^{3/2}(a+b\text{arcsinh}(cx){)}^{n}dx=\text{Exception raised: HeuristicGCDFailed}$$

[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 $517$

2.4.6.97 Sympy [F(-2)]

Exception generated. $$\int {(a+ib\arcsin (1-id{x}^2))}^{4}dx=\text{Exception raised: TypeError}$$

[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 $314$

2.4.6.98 Sympy [F(-2)]

Exception generated. $$\int {(a+ib\arcsin (1-id{x}^2))}^{3}dx=\text{Exception raised: TypeError}$$

[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 $315$

2.4.6.99 Sympy [F(-2)]

Exception generated. $$\int {(a+ib\arcsin (1-id{x}^2))}^{2}dx=\text{Exception raised: TypeError}$$

[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 $316$

2.4.6.100 Sympy [F(-2)]

Exception generated. $$\int (a+ib\arcsin (1-id{x}^2))dx=\text{Exception raised: TypeError}$$

[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 $317$