2.3.18 Integrals 1701 to 1800

2.3.18.1 Giac [F(-2)]

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

[In]

integrate((a+b*arcsec(c*x))/x,x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:Limit: Max order
reached or unable to make series expansion Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(8\)

2.3.18.2 Giac [F(-2)]

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

[In]

integrate((a+b*arcsec(c*x))^2/x,x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:ln of unsigned or
 minus infinity Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(19\)

2.3.18.3 Giac [F(-2)]

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

[In]

integrate(x/(a+b*arcsec(c*x))^3,x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:Not invertible Er
ror: Bad Argument Value

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(45\)

2.3.18.4 Giac [F(-2)]

Exception generated. \[ \int \frac {a+b \sec ^{-1}(c x)}{d+e x} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((a+b*arcsec(c*x))/(e*x+d),x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(co
nst gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(60\)

2.3.18.5 Giac [F(-2)]

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

[In]

integrate((a+b*arcsec(c*x))/(e*x+d)^2,x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(co
nst gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(61\)

2.3.18.6 Giac [F(-2)]

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

[In]

integrate((a+b*arcsec(c*x))/(e*x+d)^3,x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(co
nst gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(62\)

2.3.18.7 Giac [F(-2)]

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

[In]

integrate((e*x^2+d)*(a+b*arcsec(c*x))/x,x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:Limit: Max order
reached or unable to make series expansion Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(79\)

2.3.18.8 Giac [F(-2)]

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

[In]

integrate((e*x^2+d)^2*(a+b*arcsec(c*x))/x,x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:Limit: Max order
reached or unable to make series expansion Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(89\)

2.3.18.9 Giac [F(-2)]

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

[In]

integrate(x^2*(a+b*arcsec(c*x))/(e*x^2+d),x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(co
nst gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(91\)

2.3.18.10 Giac [F(-2)]

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

[In]

integrate(x*(a+b*arcsec(c*x))/(e*x^2+d),x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(co
nst gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(92\)

2.3.18.11 Giac [F(-2)]

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

[In]

integrate((a+b*arcsec(c*x))/(e*x^2+d),x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(co
nst gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(93\)

2.3.18.12 Giac [F(-2)]

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

[In]

integrate((a+b*arcsec(c*x))/x/(e*x^2+d),x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(co
nst gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(94\)

2.3.18.13 Giac [F(-2)]

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

[In]

integrate((a+b*arcsec(c*x))/x^2/(e*x^2+d),x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(co
nst gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(95\)

2.3.18.14 Giac [F(-2)]

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

[In]

integrate(x*(a+b*arcsec(c*x))/(e*x^2+d)^2,x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(co
nst gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(98\)

2.3.18.15 Giac [F(-2)]

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

[In]

integrate((a+b*arcsec(c*x))/x/(e*x^2+d)^2,x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(co
nst gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(99\)

2.3.18.16 Giac [F(-2)]

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

[In]

integrate(x^2*(a+b*arcsec(c*x))/(e*x^2+d)^2,x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(co
nst gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(101\)

2.3.18.17 Giac [F(-2)]

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

[In]

integrate((a+b*arcsec(c*x))/(e*x^2+d)^2,x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(co
nst gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(102\)

2.3.18.18 Giac [F(-2)]

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

[In]

integrate((a+b*arcsec(c*x))/x^2/(e*x^2+d)^2,x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(co
nst gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(103\)

2.3.18.19 Giac [F(-2)]

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

[In]

integrate(x^3*(a+b*arcsec(c*x))/(e*x^2+d)^3,x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(co
nst gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(105\)

2.3.18.20 Giac [F(-2)]

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

[In]

integrate(x*(a+b*arcsec(c*x))/(e*x^2+d)^3,x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(co
nst gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(106\)

2.3.18.21 Giac [F(-2)]

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

[In]

integrate((a+b*arcsec(c*x))/x/(e*x^2+d)^3,x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(co
nst gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(107\)

2.3.18.22 Giac [F(-2)]

Exception generated. \[ \int \frac {x^4 \left (a+b \sec ^{-1}(c x)\right )}{\left (d+e x^2\right )^3} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x^4*(a+b*arcsec(c*x))/(e*x^2+d)^3,x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(co
nst gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(108\)

2.3.18.23 Giac [F(-2)]

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

[In]

integrate(x^2*(a+b*arcsec(c*x))/(e*x^2+d)^3,x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(co
nst gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(109\)

2.3.18.24 Giac [F(-2)]

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

[In]

integrate((a+b*arcsec(c*x))/(e*x^2+d)^3,x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(co
nst gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(110\)

2.3.18.25 Giac [F(-2)]

Exception generated. \[ \int \frac {x^{11} \left (a+b \sec ^{-1}(c x)\right )}{\sqrt {1-c^4 x^4}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^11*(a+b*arcsec(c*x))/(-c^4*x^4+1)^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(170\)

2.3.18.26 Giac [F(-2)]

Exception generated. \[ \int \frac {x^7 \left (a+b \sec ^{-1}(c x)\right )}{\sqrt {1-c^4 x^4}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^7*(a+b*arcsec(c*x))/(-c^4*x^4+1)^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(171\)

2.3.18.27 Giac [F(-2)]

Exception generated. \[ \int \frac {\sec ^{-1}\left (\sqrt {x}\right )}{x} \, dx=\text {Exception raised: NotImplementedError} \]

[In]

integrate(arcsec(x^(1/2))/x,x, algorithm="giac")

[Out]

Exception raised: NotImplementedError >> unable to parse Giac output: Invalid series expansion: non tractable
function acos at +infinity

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.2_Inverse_secant_functions.txt

Test file number \(157\)

Integral number in file \(6\)

2.3.18.28 Giac [F(-2)]

Exception generated. \[ \int x^3 \sec ^{-1}(a+b x)^2 \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x^3*arcsec(b*x+a)^2,x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(co
nst gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.2_Inverse_secant_functions.txt

Test file number \(157\)

Integral number in file \(27\)

2.3.18.29 Giac [F(-2)]

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

[In]

integrate((a+b*arccsc(c*x))/x,x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:Limit: Max order
reached or unable to make series expansion Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.6_Inverse_cosecant/5.6.1_u-a+b_arccsc-c_x-^n.txt

Test file number \(158\)

Integral number in file \(8\)

2.3.18.30 Giac [F(-2)]

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

[In]

integrate((a+b*arccsc(c*x))^2/x,x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:ln of unsigned or
 minus infinity Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.6_Inverse_cosecant/5.6.1_u-a+b_arccsc-c_x-^n.txt

Test file number \(158\)

Integral number in file \(19\)

2.3.18.31 Giac [F(-2)]

Exception generated. \[ \int \frac {a+b \csc ^{-1}(c x)}{d+e x} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((a+b*arccsc(c*x))/(e*x+d),x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(co
nst gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.6_Inverse_cosecant/5.6.1_u-a+b_arccsc-c_x-^n.txt

Test file number \(158\)

Integral number in file \(48\)

2.3.18.32 Giac [F(-2)]

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

[In]

integrate((a+b*arccsc(c*x))/(e*x+d)^2,x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(co
nst gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.6_Inverse_cosecant/5.6.1_u-a+b_arccsc-c_x-^n.txt

Test file number \(158\)

Integral number in file \(49\)

2.3.18.33 Giac [F(-2)]

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

[In]

integrate((a+b*arccsc(c*x))/(e*x+d)^3,x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(co
nst gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.6_Inverse_cosecant/5.6.1_u-a+b_arccsc-c_x-^n.txt

Test file number \(158\)

Integral number in file \(50\)

2.3.18.34 Giac [F(-2)]

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

[In]

integrate((e*x^2+d)*(a+b*arccsc(c*x))/x,x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:Limit: Max order
reached or unable to make series expansion Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.6_Inverse_cosecant/5.6.1_u-a+b_arccsc-c_x-^n.txt

Test file number \(158\)

Integral number in file \(86\)

2.3.18.35 Giac [F(-2)]

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

[In]

integrate((e*x^2+d)^2*(a+b*arccsc(c*x))/x,x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:Limit: Max order
reached or unable to make series expansion Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.6_Inverse_cosecant/5.6.1_u-a+b_arccsc-c_x-^n.txt

Test file number \(158\)

Integral number in file \(96\)

2.3.18.36 Giac [F(-2)]

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

[In]

integrate(x^2*(a+b*arccsc(c*x))/(e*x^2+d),x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(co
nst gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.6_Inverse_cosecant/5.6.1_u-a+b_arccsc-c_x-^n.txt

Test file number \(158\)

Integral number in file \(98\)

2.3.18.37 Giac [F(-2)]

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

[In]

integrate(x*(a+b*arccsc(c*x))/(e*x^2+d),x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(co
nst gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.6_Inverse_cosecant/5.6.1_u-a+b_arccsc-c_x-^n.txt

Test file number \(158\)

Integral number in file \(99\)

2.3.18.38 Giac [F(-2)]

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

[In]

integrate((a+b*arccsc(c*x))/(e*x^2+d),x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(co
nst gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.6_Inverse_cosecant/5.6.1_u-a+b_arccsc-c_x-^n.txt

Test file number \(158\)

Integral number in file \(100\)

2.3.18.39 Giac [F(-2)]

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

[In]

integrate((a+b*arccsc(c*x))/x/(e*x^2+d),x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(co
nst gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.6_Inverse_cosecant/5.6.1_u-a+b_arccsc-c_x-^n.txt

Test file number \(158\)

Integral number in file \(101\)

2.3.18.40 Giac [F(-2)]

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

[In]

integrate((a+b*arccsc(c*x))/x^2/(e*x^2+d),x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(co
nst gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.6_Inverse_cosecant/5.6.1_u-a+b_arccsc-c_x-^n.txt

Test file number \(158\)

Integral number in file \(102\)

2.3.18.41 Giac [F(-2)]

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

[In]

integrate(x*(a+b*arccsc(c*x))/(e*x^2+d)^2,x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(co
nst gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.6_Inverse_cosecant/5.6.1_u-a+b_arccsc-c_x-^n.txt

Test file number \(158\)

Integral number in file \(105\)

2.3.18.42 Giac [F(-2)]

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

[In]

integrate((a+b*arccsc(c*x))/x/(e*x^2+d)^2,x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(co
nst gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.6_Inverse_cosecant/5.6.1_u-a+b_arccsc-c_x-^n.txt

Test file number \(158\)

Integral number in file \(106\)

2.3.18.43 Giac [F(-2)]

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

[In]

integrate(x^2*(a+b*arccsc(c*x))/(e*x^2+d)^2,x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(co
nst gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.6_Inverse_cosecant/5.6.1_u-a+b_arccsc-c_x-^n.txt

Test file number \(158\)

Integral number in file \(108\)

2.3.18.44 Giac [F(-2)]

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

[In]

integrate((a+b*arccsc(c*x))/(e*x^2+d)^2,x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(co
nst gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.6_Inverse_cosecant/5.6.1_u-a+b_arccsc-c_x-^n.txt

Test file number \(158\)

Integral number in file \(109\)

2.3.18.45 Giac [F(-2)]

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

[In]

integrate((a+b*arccsc(c*x))/x^2/(e*x^2+d)^2,x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(co
nst gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.6_Inverse_cosecant/5.6.1_u-a+b_arccsc-c_x-^n.txt

Test file number \(158\)

Integral number in file \(110\)

2.3.18.46 Giac [F(-2)]

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

[In]

integrate(x^3*(a+b*arccsc(c*x))/(e*x^2+d)^3,x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(co
nst gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.6_Inverse_cosecant/5.6.1_u-a+b_arccsc-c_x-^n.txt

Test file number \(158\)

Integral number in file \(112\)

2.3.18.47 Giac [F(-2)]

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

[In]

integrate(x*(a+b*arccsc(c*x))/(e*x^2+d)^3,x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(co
nst gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.6_Inverse_cosecant/5.6.1_u-a+b_arccsc-c_x-^n.txt

Test file number \(158\)

Integral number in file \(113\)

2.3.18.48 Giac [F(-2)]

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

[In]

integrate((a+b*arccsc(c*x))/x/(e*x^2+d)^3,x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(co
nst gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.6_Inverse_cosecant/5.6.1_u-a+b_arccsc-c_x-^n.txt

Test file number \(158\)

Integral number in file \(114\)

2.3.18.49 Giac [F(-2)]

Exception generated. \[ \int \frac {x^4 \left (a+b \csc ^{-1}(c x)\right )}{\left (d+e x^2\right )^3} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x^4*(a+b*arccsc(c*x))/(e*x^2+d)^3,x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(co
nst gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.6_Inverse_cosecant/5.6.1_u-a+b_arccsc-c_x-^n.txt

Test file number \(158\)

Integral number in file \(115\)

2.3.18.50 Giac [F(-2)]

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

[In]

integrate(x^2*(a+b*arccsc(c*x))/(e*x^2+d)^3,x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(co
nst gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.6_Inverse_cosecant/5.6.1_u-a+b_arccsc-c_x-^n.txt

Test file number \(158\)

Integral number in file \(116\)

2.3.18.51 Giac [F(-2)]

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

[In]

integrate((a+b*arccsc(c*x))/(e*x^2+d)^3,x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(co
nst gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.6_Inverse_cosecant/5.6.1_u-a+b_arccsc-c_x-^n.txt

Test file number \(158\)

Integral number in file \(117\)

2.3.18.52 Giac [F(-2)]

Exception generated. \[ \int \frac {x^{11} \left (a+b \csc ^{-1}(c x)\right )}{\sqrt {1-c^4 x^4}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^11*(a+b*arccsc(c*x))/(-c^4*x^4+1)^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.6_Inverse_cosecant/5.6.1_u-a+b_arccsc-c_x-^n.txt

Test file number \(158\)

Integral number in file \(174\)

2.3.18.53 Giac [F(-2)]

Exception generated. \[ \int \frac {x^7 \left (a+b \csc ^{-1}(c x)\right )}{\sqrt {1-c^4 x^4}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^7*(a+b*arccsc(c*x))/(-c^4*x^4+1)^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.6_Inverse_cosecant/5.6.1_u-a+b_arccsc-c_x-^n.txt

Test file number \(158\)

Integral number in file \(175\)

2.3.18.54 Giac [F(-2)]

Exception generated. \[ \int \frac {\csc ^{-1}\left (\sqrt {x}\right )}{x} \, dx=\text {Exception raised: NotImplementedError} \]

[In]

integrate(arccsc(x^(1/2))/x,x, algorithm="giac")

[Out]

Exception raised: NotImplementedError >> unable to parse Giac output: Invalid series expansion: non tractable
function asin at +infinity

input file name 5_Inverse_trig_functions/5.6_Inverse_cosecant/5.6.2_Inverse_cosecant_functions.txt

Test file number \(159\)

Integral number in file \(6\)

2.3.18.55 Giac [F(-2)]

Exception generated. \[ \int x^3 \csc ^{-1}(a+b x)^2 \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x^3*arccsc(b*x+a)^2,x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(co
nst gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.6_Inverse_cosecant/5.6.2_Inverse_cosecant_functions.txt

Test file number \(159\)

Integral number in file \(27\)

2.3.18.56 Giac [F(-2)]

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

[In]

integrate((f*x+e)^3*cosh(d*x+c)^2*coth(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Not invertible Error: Bad Argument Value

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 \(430\)

2.3.18.57 Giac [F(-2)]

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

[In]

integrate((f*x+e)^2*csch(d*x+c)^3*sech(d*x+c)^2/(a+b*sinh(d*x+c)),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Not invertible Error: Bad Argument Value

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 \(496\)

2.3.18.58 Giac [F(-2)]

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

[In]

integrate(csch(f*x+e)*(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Error: Bad Argument Type

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.7_hyper^m-a+b_sinh^n-^p.txt

Test file number \(164\)

Integral number in file \(68\)

2.3.18.59 Giac [F(-2)]

Exception generated. \[ \int \text {csch}^3(e+f x) \sqrt {a+b \sinh ^2(e+f x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(csch(f*x+e)^3*(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Error: Bad Argument Type

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.7_hyper^m-a+b_sinh^n-^p.txt

Test file number \(164\)

Integral number in file \(69\)

2.3.18.60 Giac [F(-2)]

Exception generated. \[ \int \text {csch}^5(e+f x) \sqrt {a+b \sinh ^2(e+f x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(csch(f*x+e)^5*(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Error: Bad Argument Type

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.7_hyper^m-a+b_sinh^n-^p.txt

Test file number \(164\)

Integral number in file \(70\)

2.3.18.61 Giac [F(-2)]

Exception generated. \[ \int \sinh ^4(e+f x) \sqrt {a+b \sinh ^2(e+f x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(sinh(f*x+e)^4*(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Error: Bad Argument Type

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.7_hyper^m-a+b_sinh^n-^p.txt

Test file number \(164\)

Integral number in file \(71\)

2.3.18.62 Giac [F(-2)]

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

[In]

integrate(sinh(f*x+e)^2*(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Error: Bad Argument Type

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.7_hyper^m-a+b_sinh^n-^p.txt

Test file number \(164\)

Integral number in file \(72\)

2.3.18.63 Giac [F(-2)]

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

[In]

integrate((a+b*sinh(f*x+e)^2)^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Error: Bad Argument Type

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.7_hyper^m-a+b_sinh^n-^p.txt

Test file number \(164\)

Integral number in file \(73\)

2.3.18.64 Giac [F(-2)]

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

[In]

integrate(csch(f*x+e)^2*(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Error: Bad Argument Type

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.7_hyper^m-a+b_sinh^n-^p.txt

Test file number \(164\)

Integral number in file \(74\)

2.3.18.65 Giac [F(-2)]

Exception generated. \[ \int \text {csch}^4(e+f x) \sqrt {a+b \sinh ^2(e+f x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(csch(f*x+e)^4*(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Error: Bad Argument Type

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.7_hyper^m-a+b_sinh^n-^p.txt

Test file number \(164\)

Integral number in file \(75\)

2.3.18.66 Giac [F(-2)]

Exception generated. \[ \int \text {csch}(e+f x) \left (a+b \sinh ^2(e+f x)\right )^{3/2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(csch(f*x+e)*(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Error: Bad Argument Type

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.7_hyper^m-a+b_sinh^n-^p.txt

Test file number \(164\)

Integral number in file \(78\)

2.3.18.67 Giac [F(-2)]

Exception generated. \[ \int \text {csch}^3(e+f x) \left (a+b \sinh ^2(e+f x)\right )^{3/2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(csch(f*x+e)^3*(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Error: Bad Argument Type

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.7_hyper^m-a+b_sinh^n-^p.txt

Test file number \(164\)

Integral number in file \(79\)

2.3.18.68 Giac [F(-2)]

Exception generated. \[ \int \sinh ^4(e+f x) \left (a+b \sinh ^2(e+f x)\right )^{3/2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(sinh(f*x+e)^4*(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Error: Bad Argument Type

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.7_hyper^m-a+b_sinh^n-^p.txt

Test file number \(164\)

Integral number in file \(82\)

2.3.18.69 Giac [F(-2)]

Exception generated. \[ \int \sinh ^2(e+f x) \left (a+b \sinh ^2(e+f x)\right )^{3/2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(sinh(f*x+e)^2*(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Error: Bad Argument Type

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.7_hyper^m-a+b_sinh^n-^p.txt

Test file number \(164\)

Integral number in file \(83\)

2.3.18.70 Giac [F(-2)]

Exception generated. \[ \int \left (a+b \sinh ^2(e+f x)\right )^{3/2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a+b*sinh(f*x+e)^2)^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Error: Bad Argument Type

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.7_hyper^m-a+b_sinh^n-^p.txt

Test file number \(164\)

Integral number in file \(84\)

2.3.18.71 Giac [F(-2)]

Exception generated. \[ \int \text {csch}^2(e+f x) \left (a+b \sinh ^2(e+f x)\right )^{3/2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(csch(f*x+e)^2*(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{1,[4,2,0]%%%}+%%%{%%{[4,0]:[1,0,%%%{-1,[1]%%%}]%%},[3,2,
0]%%%}+%%%{

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.7_hyper^m-a+b_sinh^n-^p.txt

Test file number \(164\)

Integral number in file \(85\)

2.3.18.72 Giac [F(-2)]

Exception generated. \[ \int \text {csch}^4(e+f x) \left (a+b \sinh ^2(e+f x)\right )^{3/2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(csch(f*x+e)^4*(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{1,[8,6,0]%%%}+%%%{%%{[8,0]:[1,0,%%%{-1,[1]%%%}]%%},[7,6,
0]%%%}+%%%{

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.7_hyper^m-a+b_sinh^n-^p.txt

Test file number \(164\)

Integral number in file \(86\)

2.3.18.73 Giac [F(-2)]

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

[In]

integrate((a+b*sinh(d*x+c)^2)^(5/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Error: Bad Argument Type

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.7_hyper^m-a+b_sinh^n-^p.txt

Test file number \(164\)

Integral number in file \(87\)

2.3.18.74 Giac [F(-2)]

Exception generated. \[ \int \left (a+b \sinh ^2(x)\right )^{3/2} \, dx=\text {Exception raised: AttributeError} \]

[In]

integrate((a+b*sinh(x)^2)^(3/2),x, algorithm="giac")

[Out]

Exception raised: AttributeError >> type

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.7_hyper^m-a+b_sinh^n-^p.txt

Test file number \(164\)

Integral number in file \(97\)

2.3.18.75 Giac [F(-2)]

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

[In]

integrate(sinh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Error: Bad Argument Type

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.7_hyper^m-a+b_sinh^n-^p.txt

Test file number \(164\)

Integral number in file \(99\)

2.3.18.76 Giac [F(-2)]

Exception generated. \[ \int \frac {1}{\sqrt {a+b \sinh ^2(e+f x)}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Error: Bad Argument Type

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.7_hyper^m-a+b_sinh^n-^p.txt

Test file number \(164\)

Integral number in file \(104\)

2.3.18.77 Giac [F(-2)]

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

[In]

integrate(sinh(f*x+e)^3/(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Error: Bad Argument Type

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.7_hyper^m-a+b_sinh^n-^p.txt

Test file number \(164\)

Integral number in file \(107\)

2.3.18.78 Giac [F(-2)]

Exception generated. \[ \int \frac {\text {csch}^3(e+f x)}{\left (a+b \sinh ^2(e+f x)\right )^{3/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(csch(f*x+e)^3/(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Error: Bad Argument Type

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.7_hyper^m-a+b_sinh^n-^p.txt

Test file number \(164\)

Integral number in file \(110\)

2.3.18.79 Giac [F(-2)]

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

[In]

integrate(sinh(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:Error: Bad Argume
nt Type

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.7_hyper^m-a+b_sinh^n-^p.txt

Test file number \(164\)

Integral number in file \(113\)

2.3.18.80 Giac [F(-2)]

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

[In]

integrate(1/(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:Error: Bad Argume
nt Type

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.7_hyper^m-a+b_sinh^n-^p.txt

Test file number \(164\)

Integral number in file \(114\)

2.3.18.81 Giac [F(-2)]

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

[In]

integrate(csch(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:Error: Bad Argume
nt Type

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.7_hyper^m-a+b_sinh^n-^p.txt

Test file number \(164\)

Integral number in file \(115\)

2.3.18.82 Giac [F(-2)]

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

[In]

integrate(sinh(f*x+e)^5/(a+b*sinh(f*x+e)^2)^(5/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Error: Bad Argument Type

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.7_hyper^m-a+b_sinh^n-^p.txt

Test file number \(164\)

Integral number in file \(116\)

2.3.18.83 Giac [F(-2)]

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

[In]

integrate(sinh(f*x+e)^4/(a+b*sinh(f*x+e)^2)^(5/2),x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:Error: Bad Argume
nt Type

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.7_hyper^m-a+b_sinh^n-^p.txt

Test file number \(164\)

Integral number in file \(121\)

2.3.18.84 Giac [F(-2)]

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

[In]

integrate(sinh(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(5/2),x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:Error: Bad Argume
nt Type

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.7_hyper^m-a+b_sinh^n-^p.txt

Test file number \(164\)

Integral number in file \(122\)

2.3.18.85 Giac [F(-2)]

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

[In]

integrate(1/(a+b*sinh(f*x+e)^2)^(5/2),x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:Error: Bad Argume
nt Type

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.7_hyper^m-a+b_sinh^n-^p.txt

Test file number \(164\)

Integral number in file \(123\)

2.3.18.86 Giac [F(-2)]

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

[In]

integrate(csch(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(5/2),x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:Error: Bad Argume
nt Type

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.7_hyper^m-a+b_sinh^n-^p.txt

Test file number \(164\)

Integral number in file \(124\)

2.3.18.87 Giac [F(-2)]

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

[In]

integrate(sinh(d*x+c)^2/(a+b*sinh(d*x+c)^3),x, algorithm="giac")

[Out]

Exception raised: AttributeError >> type

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.7_hyper^m-a+b_sinh^n-^p.txt

Test file number \(164\)

Integral number in file \(175\)

2.3.18.88 Giac [F(-2)]

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

[In]

integrate(sech(f*x+e)*(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Error: Bad Argument Type

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.7_hyper^m-a+b_sinh^n-^p.txt

Test file number \(164\)

Integral number in file \(354\)

2.3.18.89 Giac [F(-2)]

Exception generated. \[ \int \text {sech}^3(e+f x) \sqrt {a+b \sinh ^2(e+f x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(sech(f*x+e)^3*(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Error: Bad Argument Type

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.7_hyper^m-a+b_sinh^n-^p.txt

Test file number \(164\)

Integral number in file \(355\)

2.3.18.90 Giac [F(-2)]

Exception generated. \[ \int \text {sech}^5(e+f x) \sqrt {a+b \sinh ^2(e+f x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(sech(f*x+e)^5*(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Error: Bad Argument Type

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.7_hyper^m-a+b_sinh^n-^p.txt

Test file number \(164\)

Integral number in file \(356\)

2.3.18.91 Giac [F(-2)]

Exception generated. \[ \int \cosh ^4(e+f x) \sqrt {a+b \sinh ^2(e+f x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(cosh(f*x+e)^4*(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Error: Bad Argument Type

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.7_hyper^m-a+b_sinh^n-^p.txt

Test file number \(164\)

Integral number in file \(357\)

2.3.18.92 Giac [F(-2)]

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

[In]

integrate(cosh(f*x+e)^2*(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Error: Bad Argument Type

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.7_hyper^m-a+b_sinh^n-^p.txt

Test file number \(164\)

Integral number in file \(358\)

2.3.18.93 Giac [F(-2)]

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

[In]

integrate((a+b*sinh(f*x+e)^2)^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Error: Bad Argument Type

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.7_hyper^m-a+b_sinh^n-^p.txt

Test file number \(164\)

Integral number in file \(359\)

2.3.18.94 Giac [F(-2)]

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

[In]

integrate(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Error: Bad Argument Type

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.7_hyper^m-a+b_sinh^n-^p.txt

Test file number \(164\)

Integral number in file \(360\)

2.3.18.95 Giac [F(-2)]

Exception generated. \[ \int \text {sech}^4(e+f x) \sqrt {a+b \sinh ^2(e+f x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(sech(f*x+e)^4*(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Error: Bad Argument Type

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.7_hyper^m-a+b_sinh^n-^p.txt

Test file number \(164\)

Integral number in file \(361\)

2.3.18.96 Giac [F(-2)]

Exception generated. \[ \int \text {sech}(e+f x) \left (a+b \sinh ^2(e+f x)\right )^{3/2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(sech(f*x+e)*(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Error: Bad Argument Type

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.7_hyper^m-a+b_sinh^n-^p.txt

Test file number \(164\)

Integral number in file \(364\)

2.3.18.97 Giac [F(-2)]

Exception generated. \[ \int \text {sech}^3(e+f x) \left (a+b \sinh ^2(e+f x)\right )^{3/2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(sech(f*x+e)^3*(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Error: Bad Argument Type

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.7_hyper^m-a+b_sinh^n-^p.txt

Test file number \(164\)

Integral number in file \(365\)

2.3.18.98 Giac [F(-2)]

Exception generated. \[ \int \cosh ^4(e+f x) \left (a+b \sinh ^2(e+f x)\right )^{3/2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(cosh(f*x+e)^4*(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Error: Bad Argument Type

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.7_hyper^m-a+b_sinh^n-^p.txt

Test file number \(164\)

Integral number in file \(368\)

2.3.18.99 Giac [F(-2)]

Exception generated. \[ \int \cosh ^2(e+f x) \left (a+b \sinh ^2(e+f x)\right )^{3/2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(cosh(f*x+e)^2*(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Error: Bad Argument Type

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.7_hyper^m-a+b_sinh^n-^p.txt

Test file number \(164\)

Integral number in file \(369\)

2.3.18.100 Giac [F(-2)]

Exception generated. \[ \int \left (a+b \sinh ^2(e+f x)\right )^{3/2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a+b*sinh(f*x+e)^2)^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Error: Bad Argument Type

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.7_hyper^m-a+b_sinh^n-^p.txt

Test file number \(164\)

Integral number in file \(370\)