2.1.18 Integrals 1701 to 1800

2.1.18.1 Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{x \text {arccosh}(a x)^{7/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/x/arccosh(a*x)^(7/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.2-d_x-^m-a+b_arccosh-c_x-^n.txt

Test file number \(189\)

Integral number in file \(114\)

2.1.18.2 Fricas [F(-2)]

Exception generated. \[ \int x^m \text {arccosh}(a x)^{3/2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^m*arccosh(a*x)^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.2-d_x-^m-a+b_arccosh-c_x-^n.txt

Test file number \(189\)

Integral number in file \(122\)

2.1.18.3 Fricas [F(-2)]

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

[In]

integrate(x^m*arccosh(a*x)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.2-d_x-^m-a+b_arccosh-c_x-^n.txt

Test file number \(189\)

Integral number in file \(123\)

2.1.18.4 Fricas [F(-2)]

Exception generated. \[ \int \frac {x^m}{\sqrt {\text {arccosh}(a x)}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^m/arccosh(a*x)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.2-d_x-^m-a+b_arccosh-c_x-^n.txt

Test file number \(189\)

Integral number in file \(124\)

2.1.18.5 Fricas [F(-2)]

Exception generated. \[ \int \frac {x^m}{\text {arccosh}(a x)^{3/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^m/arccosh(a*x)^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.2-d_x-^m-a+b_arccosh-c_x-^n.txt

Test file number \(189\)

Integral number in file \(125\)

2.1.18.6 Fricas [F(-2)]

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

[In]

integrate(x^2*(a+b*arccosh(c*x))^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.2-d_x-^m-a+b_arccosh-c_x-^n.txt

Test file number \(189\)

Integral number in file \(142\)

2.1.18.7 Fricas [F(-2)]

Exception generated. \[ \int x \sqrt {a+b \text {arccosh}(c x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x*(a+b*arccosh(c*x))^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.2-d_x-^m-a+b_arccosh-c_x-^n.txt

Test file number \(189\)

Integral number in file \(143\)

2.1.18.8 Fricas [F(-2)]

Exception generated. \[ \int \sqrt {a+b \text {arccosh}(c x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a+b*arccosh(c*x))^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.2-d_x-^m-a+b_arccosh-c_x-^n.txt

Test file number \(189\)

Integral number in file \(144\)

2.1.18.9 Fricas [F(-2)]

Exception generated. \[ \int x^2 (a+b \text {arccosh}(c x))^{3/2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^2*(a+b*arccosh(c*x))^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.2-d_x-^m-a+b_arccosh-c_x-^n.txt

Test file number \(189\)

Integral number in file \(145\)

2.1.18.10 Fricas [F(-2)]

Exception generated. \[ \int x (a+b \text {arccosh}(c x))^{3/2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x*(a+b*arccosh(c*x))^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.2-d_x-^m-a+b_arccosh-c_x-^n.txt

Test file number \(189\)

Integral number in file \(146\)

2.1.18.11 Fricas [F(-2)]

Exception generated. \[ \int (a+b \text {arccosh}(c x))^{3/2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a+b*arccosh(c*x))^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.2-d_x-^m-a+b_arccosh-c_x-^n.txt

Test file number \(189\)

Integral number in file \(147\)

2.1.18.12 Fricas [F(-2)]

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

[In]

integrate(x^2*(a+b*arccosh(c*x))^(5/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.2-d_x-^m-a+b_arccosh-c_x-^n.txt

Test file number \(189\)

Integral number in file \(148\)

2.1.18.13 Fricas [F(-2)]

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

[In]

integrate(x*(a+b*arccosh(c*x))^(5/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.2-d_x-^m-a+b_arccosh-c_x-^n.txt

Test file number \(189\)

Integral number in file \(149\)

2.1.18.14 Fricas [F(-2)]

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

[In]

integrate((a+b*arccosh(c*x))^(5/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.2-d_x-^m-a+b_arccosh-c_x-^n.txt

Test file number \(189\)

Integral number in file \(150\)

2.1.18.15 Fricas [F(-2)]

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

[In]

integrate(x^2/(a+b*arccosh(c*x))^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.2-d_x-^m-a+b_arccosh-c_x-^n.txt

Test file number \(189\)

Integral number in file \(151\)

2.1.18.16 Fricas [F(-2)]

Exception generated. \[ \int \frac {x}{\sqrt {a+b \text {arccosh}(c x)}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x/(a+b*arccosh(c*x))^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.2-d_x-^m-a+b_arccosh-c_x-^n.txt

Test file number \(189\)

Integral number in file \(152\)

2.1.18.17 Fricas [F(-2)]

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

[In]

integrate(1/(a+b*arccosh(c*x))^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.2-d_x-^m-a+b_arccosh-c_x-^n.txt

Test file number \(189\)

Integral number in file \(153\)

2.1.18.18 Fricas [F(-2)]

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

[In]

integrate(x^2/(a+b*arccosh(c*x))^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.2-d_x-^m-a+b_arccosh-c_x-^n.txt

Test file number \(189\)

Integral number in file \(154\)

2.1.18.19 Fricas [F(-2)]

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

[In]

integrate(x/(a+b*arccosh(c*x))^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.2-d_x-^m-a+b_arccosh-c_x-^n.txt

Test file number \(189\)

Integral number in file \(155\)

2.1.18.20 Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{(a+b \text {arccosh}(c x))^{3/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/(a+b*arccosh(c*x))^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.2-d_x-^m-a+b_arccosh-c_x-^n.txt

Test file number \(189\)

Integral number in file \(156\)

2.1.18.21 Fricas [F(-2)]

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

[In]

integrate(x^2/(a+b*arccosh(c*x))^(5/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.2-d_x-^m-a+b_arccosh-c_x-^n.txt

Test file number \(189\)

Integral number in file \(157\)

2.1.18.22 Fricas [F(-2)]

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

[In]

integrate(x/(a+b*arccosh(c*x))^(5/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.2-d_x-^m-a+b_arccosh-c_x-^n.txt

Test file number \(189\)

Integral number in file \(158\)

2.1.18.23 Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{(a+b \text {arccosh}(c x))^{5/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/(a+b*arccosh(c*x))^(5/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.2-d_x-^m-a+b_arccosh-c_x-^n.txt

Test file number \(189\)

Integral number in file \(159\)

2.1.18.24 Fricas [F(-2)]

Exception generated. \[ \int \frac {x^2}{(a+b \text {arccosh}(c x))^{7/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^2/(a+b*arccosh(c*x))^(7/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.2-d_x-^m-a+b_arccosh-c_x-^n.txt

Test file number \(189\)

Integral number in file \(160\)

2.1.18.25 Fricas [F(-2)]

Exception generated. \[ \int \frac {x}{(a+b \text {arccosh}(c x))^{7/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x/(a+b*arccosh(c*x))^(7/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.2-d_x-^m-a+b_arccosh-c_x-^n.txt

Test file number \(189\)

Integral number in file \(161\)

2.1.18.26 Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{(a+b \text {arccosh}(c x))^{7/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/(a+b*arccosh(c*x))^(7/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.2-d_x-^m-a+b_arccosh-c_x-^n.txt

Test file number \(189\)

Integral number in file \(162\)

2.1.18.27 Fricas [F(-2)]

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

[In]

integrate(x^3*(-c^2*d*x^2+d)/(a+b*arccosh(c*x))^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(369\)

2.1.18.28 Fricas [F(-2)]

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

[In]

integrate(x^2*(-c^2*d*x^2+d)/(a+b*arccosh(c*x))^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(370\)

2.1.18.29 Fricas [F(-2)]

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

[In]

integrate(x*(-c^2*d*x^2+d)/(a+b*arccosh(c*x))^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(371\)

2.1.18.30 Fricas [F(-2)]

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

[In]

integrate((-c^2*d*x^2+d)/(a+b*arccosh(c*x))^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(372\)

2.1.18.31 Fricas [F(-2)]

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

[In]

integrate((-c^2*d*x^2+d)/x/(a+b*arccosh(c*x))^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(373\)

2.1.18.32 Fricas [F(-2)]

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

[In]

integrate(x^3*(-c^2*d*x^2+d)^2/(a+b*arccosh(c*x))^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(374\)

2.1.18.33 Fricas [F(-2)]

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

[In]

integrate(x^2*(-c^2*d*x^2+d)^2/(a+b*arccosh(c*x))^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(375\)

2.1.18.34 Fricas [F(-2)]

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

[In]

integrate(x*(-c^2*d*x^2+d)^2/(a+b*arccosh(c*x))^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(376\)

2.1.18.35 Fricas [F(-2)]

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

[In]

integrate((-c^2*d*x^2+d)^2/(a+b*arccosh(c*x))^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(377\)

2.1.18.36 Fricas [F(-2)]

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

[In]

integrate((-c^2*d*x^2+d)^2/x/(a+b*arccosh(c*x))^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(378\)

2.1.18.37 Fricas [F(-2)]

Exception generated. \[ \int \left (c-a^2 c x^2\right )^{3/2} \sqrt {\text {arccosh}(a x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((-a^2*c*x^2+c)^(3/2)*arccosh(a*x)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(379\)

2.1.18.38 Fricas [F(-2)]

Exception generated. \[ \int \sqrt {c-a^2 c x^2} \sqrt {\text {arccosh}(a x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((-a^2*c*x^2+c)^(1/2)*arccosh(a*x)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(380\)

2.1.18.39 Fricas [F(-2)]

Exception generated. \[ \int \frac {\sqrt {\text {arccosh}(a x)}}{\sqrt {c-a^2 c x^2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(arccosh(a*x)^(1/2)/(-a^2*c*x^2+c)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(381\)

2.1.18.40 Fricas [F(-2)]

Exception generated. \[ \int \frac {\sqrt {\text {arccosh}(a x)}}{\left (c-a^2 c x^2\right )^{3/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(arccosh(a*x)^(1/2)/(-a^2*c*x^2+c)^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(382\)

2.1.18.41 Fricas [F(-2)]

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

[In]

integrate(arccosh(a*x)^(1/2)/(-a^2*c*x^2+c)^(5/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(383\)

2.1.18.42 Fricas [F(-2)]

Exception generated. \[ \int \left (c-a^2 c x^2\right )^{3/2} \text {arccosh}(a x)^{3/2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((-a^2*c*x^2+c)^(3/2)*arccosh(a*x)^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(384\)

2.1.18.43 Fricas [F(-2)]

Exception generated. \[ \int \sqrt {c-a^2 c x^2} \text {arccosh}(a x)^{3/2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((-a^2*c*x^2+c)^(1/2)*arccosh(a*x)^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(385\)

2.1.18.44 Fricas [F(-2)]

Exception generated. \[ \int \frac {\text {arccosh}(a x)^{3/2}}{\sqrt {c-a^2 c x^2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(arccosh(a*x)^(3/2)/(-a^2*c*x^2+c)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(386\)

2.1.18.45 Fricas [F(-2)]

Exception generated. \[ \int \frac {\text {arccosh}(a x)^{3/2}}{\left (c-a^2 c x^2\right )^{3/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(arccosh(a*x)^(3/2)/(-a^2*c*x^2+c)^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(387\)

2.1.18.46 Fricas [F(-2)]

Exception generated. \[ \int \left (c-a^2 c x^2\right )^{3/2} \text {arccosh}(a x)^{5/2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((-a^2*c*x^2+c)^(3/2)*arccosh(a*x)^(5/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(388\)

2.1.18.47 Fricas [F(-2)]

Exception generated. \[ \int \sqrt {c-a^2 c x^2} \text {arccosh}(a x)^{5/2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((-a^2*c*x^2+c)^(1/2)*arccosh(a*x)^(5/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(389\)

2.1.18.48 Fricas [F(-2)]

Exception generated. \[ \int \frac {\text {arccosh}(a x)^{5/2}}{\sqrt {c-a^2 c x^2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(arccosh(a*x)^(5/2)/(-a^2*c*x^2+c)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(390\)

2.1.18.49 Fricas [F(-2)]

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

[In]

integrate(arccosh(a*x)^(5/2)/(-a^2*c*x^2+c)^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(391\)

2.1.18.50 Fricas [F(-2)]

Exception generated. \[ \int \left (a^2-x^2\right )^{3/2} \sqrt {\text {arccosh}\left (\frac {x}{a}\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a^2-x^2)^(3/2)*arccosh(x/a)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(392\)

2.1.18.51 Fricas [F(-2)]

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

[In]

integrate((a^2-x^2)^(1/2)*arccosh(x/a)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(393\)

2.1.18.52 Fricas [F(-2)]

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

[In]

integrate(arccosh(x/a)^(1/2)/(a^2-x^2)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(394\)

2.1.18.53 Fricas [F(-2)]

Exception generated. \[ \int \frac {\sqrt {\text {arccosh}\left (\frac {x}{a}\right )}}{\left (a^2-x^2\right )^{3/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(arccosh(x/a)^(1/2)/(a^2-x^2)^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(395\)

2.1.18.54 Fricas [F(-2)]

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

[In]

integrate(arccosh(x/a)^(1/2)/(a^2-x^2)^(5/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(396\)

2.1.18.55 Fricas [F(-2)]

Exception generated. \[ \int \left (a^2-x^2\right )^{3/2} \text {arccosh}\left (\frac {x}{a}\right )^{3/2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a^2-x^2)^(3/2)*arccosh(x/a)^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(397\)

2.1.18.56 Fricas [F(-2)]

Exception generated. \[ \int \sqrt {a^2-x^2} \text {arccosh}\left (\frac {x}{a}\right )^{3/2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(arccosh(x/a)^(3/2)*(a^2-x^2)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(398\)

2.1.18.57 Fricas [F(-2)]

Exception generated. \[ \int \frac {\text {arccosh}\left (\frac {x}{a}\right )^{3/2}}{\sqrt {a^2-x^2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(arccosh(x/a)^(3/2)/(a^2-x^2)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(399\)

2.1.18.58 Fricas [F(-2)]

Exception generated. \[ \int \frac {\text {arccosh}\left (\frac {x}{a}\right )^{3/2}}{\left (a^2-x^2\right )^{3/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(arccosh(x/a)^(3/2)/(a^2-x^2)^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(400\)

2.1.18.59 Fricas [F(-2)]

Exception generated. \[ \int \frac {x}{\sqrt {1-x^2} \sqrt {\text {arccosh}(x)}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x/(-x^2+1)^(1/2)/arccosh(x)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(401\)

2.1.18.60 Fricas [F(-2)]

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

[In]

integrate((-a^2*c*x^2+c)^(5/2)/arccosh(a*x)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(402\)

2.1.18.61 Fricas [F(-2)]

Exception generated. \[ \int \frac {\left (c-a^2 c x^2\right )^{3/2}}{\sqrt {\text {arccosh}(a x)}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((-a^2*c*x^2+c)^(3/2)/arccosh(a*x)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(403\)

2.1.18.62 Fricas [F(-2)]

Exception generated. \[ \int \frac {\sqrt {c-a^2 c x^2}}{\sqrt {\text {arccosh}(a x)}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((-a^2*c*x^2+c)^(1/2)/arccosh(a*x)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(404\)

2.1.18.63 Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{\sqrt {c-a^2 c x^2} \sqrt {\text {arccosh}(a x)}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/(-a^2*c*x^2+c)^(1/2)/arccosh(a*x)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(405\)

2.1.18.64 Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{\left (c-a^2 c x^2\right )^{3/2} \sqrt {\text {arccosh}(a x)}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/(-a^2*c*x^2+c)^(3/2)/arccosh(a*x)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(406\)

2.1.18.65 Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{\left (c-a^2 c x^2\right )^{5/2} \sqrt {\text {arccosh}(a x)}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/(-a^2*c*x^2+c)^(5/2)/arccosh(a*x)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(407\)

2.1.18.66 Fricas [F(-2)]

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

[In]

integrate((-a^2*c*x^2+c)^(5/2)/arccosh(a*x)^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(408\)

2.1.18.67 Fricas [F(-2)]

Exception generated. \[ \int \frac {\left (c-a^2 c x^2\right )^{3/2}}{\text {arccosh}(a x)^{3/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((-a^2*c*x^2+c)^(3/2)/arccosh(a*x)^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(409\)

2.1.18.68 Fricas [F(-2)]

Exception generated. \[ \int \frac {\sqrt {c-a^2 c x^2}}{\text {arccosh}(a x)^{3/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((-a^2*c*x^2+c)^(1/2)/arccosh(a*x)^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(410\)

2.1.18.69 Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{\left (c-a^2 c x^2\right )^{3/2} \text {arccosh}(a x)^{3/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/(-a^2*c*x^2+c)^(3/2)/arccosh(a*x)^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(412\)

2.1.18.70 Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{\left (c-a^2 c x^2\right )^{5/2} \text {arccosh}(a x)^{3/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/(-a^2*c*x^2+c)^(5/2)/arccosh(a*x)^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(413\)

2.1.18.71 Fricas [F(-2)]

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

[In]

integrate((-a^2*c*x^2+c)^(3/2)/arccosh(a*x)^(5/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(414\)

2.1.18.72 Fricas [F(-2)]

Exception generated. \[ \int \frac {\sqrt {c-a^2 c x^2}}{\text {arccosh}(a x)^{5/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((-a^2*c*x^2+c)^(1/2)/arccosh(a*x)^(5/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(415\)

2.1.18.73 Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{\left (c-a^2 c x^2\right )^{3/2} \text {arccosh}(a x)^{5/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/(-a^2*c*x^2+c)^(3/2)/arccosh(a*x)^(5/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(417\)

2.1.18.74 Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{\left (c-a^2 c x^2\right )^{5/2} \text {arccosh}(a x)^{5/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/(-a^2*c*x^2+c)^(5/2)/arccosh(a*x)^(5/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(418\)

2.1.18.75 Fricas [F(-2)]

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

[In]

integrate((e*x^2+d)^2*(a+b*arccosh(c*x))^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(552\)

2.1.18.76 Fricas [F(-2)]

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

[In]

integrate((e*x^2+d)*(a+b*arccosh(c*x))^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(553\)

2.1.18.77 Fricas [F(-2)]

Exception generated. \[ \int \sqrt {a+b \text {arccosh}(c x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a+b*arccosh(c*x))^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(554\)

2.1.18.78 Fricas [F(-2)]

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

[In]

integrate((a+b*arccosh(c*x))^(1/2)/(e*x^2+d),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(555\)

2.1.18.79 Fricas [F(-2)]

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

[In]

integrate((a+b*arccosh(c*x))^(1/2)/(e*x^2+d)^2,x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(556\)

2.1.18.80 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(557\)

2.1.18.81 Fricas [F(-2)]

Exception generated. \[ \int (a+b \text {arccosh}(c x))^{3/2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a+b*arccosh(c*x))^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(558\)

2.1.18.82 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(559\)

2.1.18.83 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(560\)

2.1.18.84 Fricas [F(-2)]

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

[In]

integrate((e*x^2+d)^2/(a+b*arccosh(c*x))^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(561\)

2.1.18.85 Fricas [F(-2)]

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

[In]

integrate((e*x^2+d)/(a+b*arccosh(c*x))^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(562\)

2.1.18.86 Fricas [F(-2)]

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

[In]

integrate(1/(a+b*arccosh(c*x))^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(563\)

2.1.18.87 Fricas [F(-2)]

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

[In]

integrate(1/(e*x^2+d)/(a+b*arccosh(c*x))^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(564\)

2.1.18.88 Fricas [F(-2)]

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

[In]

integrate(1/(e*x^2+d)^2/(a+b*arccosh(c*x))^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(565\)

2.1.18.89 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(566\)

2.1.18.90 Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{(a+b \text {arccosh}(c x))^{3/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/(a+b*arccosh(c*x))^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(567\)

2.1.18.91 Fricas [F(-2)]

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

[In]

integrate(1/(e*x^2+d)/(a+b*arccosh(c*x))^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(568\)

2.1.18.92 Fricas [F(-2)]

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

[In]

integrate(1/(e*x^2+d)^2/(a+b*arccosh(c*x))^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(569\)

2.1.18.93 Fricas [F(-2)]

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

[In]

integrate(1/(a+b*arccosh(d*x+c))^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(91\)

2.1.18.94 Fricas [F(-2)]

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

[In]

integrate(1/(a-b*arccosh(d*x+c))^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(92\)

2.1.18.95 Fricas [F(-2)]

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

[In]

integrate((d*e*x+c*e)^4*(a+b*arccosh(d*x+c))^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(154\)

2.1.18.96 Fricas [F(-2)]

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

[In]

integrate((d*e*x+c*e)^3*(a+b*arccosh(d*x+c))^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(155\)

2.1.18.97 Fricas [F(-2)]

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

[In]

integrate((d*e*x+c*e)^2*(a+b*arccosh(d*x+c))^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(156\)

2.1.18.98 Fricas [F(-2)]

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

[In]

integrate((d*e*x+c*e)*(a+b*arccosh(d*x+c))^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(157\)

2.1.18.99 Fricas [F(-2)]

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

[In]

integrate((a+b*arccosh(d*x+c))^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(158\)

2.1.18.100 Fricas [F(-2)]

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

[In]

integrate((a+b*arccosh(d*x+c))^(1/2)/(d*e*x+c*e),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(159\)