2.1.10 Integrals 901 to 1000

2.1.10.1 Fricas [F(-2)]

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

[In]

integrate(x^2*(a+b*arccos(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 5_Inverse_trig_functions/5.2_Inverse_cosine/5.2.2-d_x-^m-a+b_arccos-c_x-^n.txt

Test file number \(145\)

Integral number in file \(183\)

2.1.10.2 Fricas [F(-2)]

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

[In]

integrate(x*(a+b*arccos(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 5_Inverse_trig_functions/5.2_Inverse_cosine/5.2.2-d_x-^m-a+b_arccos-c_x-^n.txt

Test file number \(145\)

Integral number in file \(184\)

2.1.10.3 Fricas [F(-2)]

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

[In]

integrate((a+b*arccos(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 5_Inverse_trig_functions/5.2_Inverse_cosine/5.2.2-d_x-^m-a+b_arccos-c_x-^n.txt

Test file number \(145\)

Integral number in file \(185\)

2.1.10.4 Fricas [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.2_Inverse_cosine/5.2.2-d_x-^m-a+b_arccos-c_x-^n.txt

Test file number \(145\)

Integral number in file \(186\)

2.1.10.5 Fricas [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.2_Inverse_cosine/5.2.2-d_x-^m-a+b_arccos-c_x-^n.txt

Test file number \(145\)

Integral number in file \(187\)

2.1.10.6 Fricas [F(-2)]

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

[In]

integrate(x^2/(a+b*arccos(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 5_Inverse_trig_functions/5.2_Inverse_cosine/5.2.2-d_x-^m-a+b_arccos-c_x-^n.txt

Test file number \(145\)

Integral number in file \(188\)

2.1.10.7 Fricas [F(-2)]

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

[In]

integrate(x/(a+b*arccos(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 5_Inverse_trig_functions/5.2_Inverse_cosine/5.2.2-d_x-^m-a+b_arccos-c_x-^n.txt

Test file number \(145\)

Integral number in file \(189\)

2.1.10.8 Fricas [F(-2)]

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

[In]

integrate(1/(a+b*arccos(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 5_Inverse_trig_functions/5.2_Inverse_cosine/5.2.2-d_x-^m-a+b_arccos-c_x-^n.txt

Test file number \(145\)

Integral number in file \(190\)

2.1.10.9 Fricas [F(-2)]

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

[In]

integrate(1/x/(a+b*arccos(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 5_Inverse_trig_functions/5.2_Inverse_cosine/5.2.2-d_x-^m-a+b_arccos-c_x-^n.txt

Test file number \(145\)

Integral number in file \(191\)

2.1.10.10 Fricas [F(-2)]

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

[In]

integrate(1/x^2/(a+b*arccos(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 5_Inverse_trig_functions/5.2_Inverse_cosine/5.2.2-d_x-^m-a+b_arccos-c_x-^n.txt

Test file number \(145\)

Integral number in file \(192\)

2.1.10.11 Fricas [F(-2)]

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

[In]

integrate(x^2/(a+b*arccos(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 5_Inverse_trig_functions/5.2_Inverse_cosine/5.2.2-d_x-^m-a+b_arccos-c_x-^n.txt

Test file number \(145\)

Integral number in file \(193\)

2.1.10.12 Fricas [F(-2)]

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

[In]

integrate(x/(a+b*arccos(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 5_Inverse_trig_functions/5.2_Inverse_cosine/5.2.2-d_x-^m-a+b_arccos-c_x-^n.txt

Test file number \(145\)

Integral number in file \(194\)

2.1.10.13 Fricas [F(-2)]

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

[In]

integrate(1/(a+b*arccos(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 5_Inverse_trig_functions/5.2_Inverse_cosine/5.2.2-d_x-^m-a+b_arccos-c_x-^n.txt

Test file number \(145\)

Integral number in file \(195\)

2.1.10.14 Fricas [F(-2)]

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

[In]

integrate(1/x/(a+b*arccos(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 5_Inverse_trig_functions/5.2_Inverse_cosine/5.2.2-d_x-^m-a+b_arccos-c_x-^n.txt

Test file number \(145\)

Integral number in file \(196\)

2.1.10.15 Fricas [F(-2)]

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

[In]

integrate(1/x^2/(a+b*arccos(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 5_Inverse_trig_functions/5.2_Inverse_cosine/5.2.2-d_x-^m-a+b_arccos-c_x-^n.txt

Test file number \(145\)

Integral number in file \(197\)

2.1.10.16 Fricas [F(-2)]

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

[In]

integrate(x^2/(a+b*arccos(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 5_Inverse_trig_functions/5.2_Inverse_cosine/5.2.2-d_x-^m-a+b_arccos-c_x-^n.txt

Test file number \(145\)

Integral number in file \(198\)

2.1.10.17 Fricas [F(-2)]

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

[In]

integrate(x/(a+b*arccos(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 5_Inverse_trig_functions/5.2_Inverse_cosine/5.2.2-d_x-^m-a+b_arccos-c_x-^n.txt

Test file number \(145\)

Integral number in file \(199\)

2.1.10.18 Fricas [F(-2)]

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

[In]

integrate(1/(a+b*arccos(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 5_Inverse_trig_functions/5.2_Inverse_cosine/5.2.2-d_x-^m-a+b_arccos-c_x-^n.txt

Test file number \(145\)

Integral number in file \(200\)

2.1.10.19 Fricas [F(-2)]

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

[In]

integrate(1/x/(a+b*arccos(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 5_Inverse_trig_functions/5.2_Inverse_cosine/5.2.2-d_x-^m-a+b_arccos-c_x-^n.txt

Test file number \(145\)

Integral number in file \(201\)

2.1.10.20 Fricas [F(-2)]

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

[In]

integrate(1/x^2/(a+b*arccos(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 5_Inverse_trig_functions/5.2_Inverse_cosine/5.2.2-d_x-^m-a+b_arccos-c_x-^n.txt

Test file number \(145\)

Integral number in file \(202\)

2.1.10.21 Fricas [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.2_Inverse_cosine/5.2.5_Inverse_cosine_functions.txt

Test file number \(147\)

Integral number in file \(37\)

2.1.10.22 Fricas [F(-2)]

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

[In]

integrate(arccos(b*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 5_Inverse_trig_functions/5.2_Inverse_cosine/5.2.5_Inverse_cosine_functions.txt

Test file number \(147\)

Integral number in file \(38\)

2.1.10.23 Fricas [F(-2)]

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

[In]

integrate(arccos(b*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 5_Inverse_trig_functions/5.2_Inverse_cosine/5.2.5_Inverse_cosine_functions.txt

Test file number \(147\)

Integral number in file \(39\)

2.1.10.24 Fricas [F(-2)]

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

[In]

integrate(1/arccos(b*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 5_Inverse_trig_functions/5.2_Inverse_cosine/5.2.5_Inverse_cosine_functions.txt

Test file number \(147\)

Integral number in file \(40\)

2.1.10.25 Fricas [F(-2)]

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

[In]

integrate(1/arccos(b*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 5_Inverse_trig_functions/5.2_Inverse_cosine/5.2.5_Inverse_cosine_functions.txt

Test file number \(147\)

Integral number in file \(41\)

2.1.10.26 Fricas [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.2_Inverse_cosine/5.2.5_Inverse_cosine_functions.txt

Test file number \(147\)

Integral number in file \(42\)

2.1.10.27 Fricas [F(-2)]

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

[In]

integrate(1/(a+b*arccos(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 5_Inverse_trig_functions/5.2_Inverse_cosine/5.2.5_Inverse_cosine_functions.txt

Test file number \(147\)

Integral number in file \(43\)

2.1.10.28 Fricas [F(-2)]

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

[In]

integrate(1/(a-b*arccos(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 5_Inverse_trig_functions/5.2_Inverse_cosine/5.2.5_Inverse_cosine_functions.txt

Test file number \(147\)

Integral number in file \(44\)

2.1.10.29 Fricas [F(-2)]

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

[In]

integrate(arccos(a*x^n)/x,x, algorithm="fricas")

[Out]

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

input file name 5_Inverse_trig_functions/5.2_Inverse_cosine/5.2.5_Inverse_cosine_functions.txt

Test file number \(147\)

Integral number in file \(69\)

2.1.10.30 Fricas [F(-2)]

Exception generated. \[ \int \left (a+b \arccos \left (1+d x^2\right )\right )^{5/2} \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.2_Inverse_cosine/5.2.5_Inverse_cosine_functions.txt

Test file number \(147\)

Integral number in file \(87\)

2.1.10.31 Fricas [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.2_Inverse_cosine/5.2.5_Inverse_cosine_functions.txt

Test file number \(147\)

Integral number in file \(88\)

2.1.10.32 Fricas [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.2_Inverse_cosine/5.2.5_Inverse_cosine_functions.txt

Test file number \(147\)

Integral number in file \(89\)

2.1.10.33 Fricas [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.2_Inverse_cosine/5.2.5_Inverse_cosine_functions.txt

Test file number \(147\)

Integral number in file \(90\)

2.1.10.34 Fricas [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.2_Inverse_cosine/5.2.5_Inverse_cosine_functions.txt

Test file number \(147\)

Integral number in file \(91\)

2.1.10.35 Fricas [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.2_Inverse_cosine/5.2.5_Inverse_cosine_functions.txt

Test file number \(147\)

Integral number in file \(92\)

2.1.10.36 Fricas [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.2_Inverse_cosine/5.2.5_Inverse_cosine_functions.txt

Test file number \(147\)

Integral number in file \(93\)

2.1.10.37 Fricas [F(-2)]

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

[In]

integrate((a+b*arccos(d*x^2-1))^(5/2),x, algorithm="fricas")

[Out]

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

input file name 5_Inverse_trig_functions/5.2_Inverse_cosine/5.2.5_Inverse_cosine_functions.txt

Test file number \(147\)

Integral number in file \(94\)

2.1.10.38 Fricas [F(-2)]

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

[In]

integrate((a+b*arccos(d*x^2-1))^(3/2),x, algorithm="fricas")

[Out]

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

input file name 5_Inverse_trig_functions/5.2_Inverse_cosine/5.2.5_Inverse_cosine_functions.txt

Test file number \(147\)

Integral number in file \(95\)

2.1.10.39 Fricas [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.2_Inverse_cosine/5.2.5_Inverse_cosine_functions.txt

Test file number \(147\)

Integral number in file \(96\)

2.1.10.40 Fricas [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.2_Inverse_cosine/5.2.5_Inverse_cosine_functions.txt

Test file number \(147\)

Integral number in file \(97\)

2.1.10.41 Fricas [F(-2)]

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

[In]

integrate(1/(a+b*arccos(d*x^2-1))^(3/2),x, algorithm="fricas")

[Out]

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

input file name 5_Inverse_trig_functions/5.2_Inverse_cosine/5.2.5_Inverse_cosine_functions.txt

Test file number \(147\)

Integral number in file \(98\)

2.1.10.42 Fricas [F(-2)]

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

[In]

integrate(1/(a+b*arccos(d*x^2-1))^(5/2),x, algorithm="fricas")

[Out]

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

input file name 5_Inverse_trig_functions/5.2_Inverse_cosine/5.2.5_Inverse_cosine_functions.txt

Test file number \(147\)

Integral number in file \(99\)

2.1.10.43 Fricas [F(-2)]

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

[In]

integrate(1/(a+b*arccos(d*x^2-1))^(7/2),x, algorithm="fricas")

[Out]

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

input file name 5_Inverse_trig_functions/5.2_Inverse_cosine/5.2.5_Inverse_cosine_functions.txt

Test file number \(147\)

Integral number in file \(100\)

2.1.10.44 Fricas [F(-2)]

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

[In]

integrate(arccos(c*exp(b*x+a)),x, algorithm="fricas")

[Out]

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

input file name 5_Inverse_trig_functions/5.2_Inverse_cosine/5.2.5_Inverse_cosine_functions.txt

Test file number \(147\)

Integral number in file \(107\)

2.1.10.45 Fricas [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.2_Inverse_cosine/5.2.5_Inverse_cosine_functions.txt

Test file number \(147\)

Integral number in file \(115\)

2.1.10.46 Fricas [F(-2)]

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

[In]

integrate(x*arctan(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 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.2-d_x-^m-a+b_arctan-c_x^n-^p.txt

Test file number \(148\)

Integral number in file \(41\)

2.1.10.47 Fricas [F(-2)]

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

[In]

integrate(arctan(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 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.2-d_x-^m-a+b_arctan-c_x^n-^p.txt

Test file number \(148\)

Integral number in file \(42\)

2.1.10.48 Fricas [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.2-d_x-^m-a+b_arctan-c_x^n-^p.txt

Test file number \(148\)

Integral number in file \(43\)

2.1.10.49 Fricas [F(-2)]

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

[In]

integrate(x*arctan(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 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.2-d_x-^m-a+b_arctan-c_x^n-^p.txt

Test file number \(148\)

Integral number in file \(44\)

2.1.10.50 Fricas [F(-2)]

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

[In]

integrate(arctan(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 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.2-d_x-^m-a+b_arctan-c_x^n-^p.txt

Test file number \(148\)

Integral number in file \(45\)

2.1.10.51 Fricas [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.2-d_x-^m-a+b_arctan-c_x^n-^p.txt

Test file number \(148\)

Integral number in file \(46\)

2.1.10.52 Fricas [F(-2)]

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

[In]

integrate(x/arctan(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 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.2-d_x-^m-a+b_arctan-c_x^n-^p.txt

Test file number \(148\)

Integral number in file \(47\)

2.1.10.53 Fricas [F(-2)]

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

[In]

integrate(1/arctan(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 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.2-d_x-^m-a+b_arctan-c_x^n-^p.txt

Test file number \(148\)

Integral number in file \(48\)

2.1.10.54 Fricas [F(-2)]

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

[In]

integrate(1/x/arctan(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 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.2-d_x-^m-a+b_arctan-c_x^n-^p.txt

Test file number \(148\)

Integral number in file \(49\)

2.1.10.55 Fricas [F(-2)]

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

[In]

integrate(x/arctan(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 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.2-d_x-^m-a+b_arctan-c_x^n-^p.txt

Test file number \(148\)

Integral number in file \(50\)

2.1.10.56 Fricas [F(-2)]

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

[In]

integrate(1/arctan(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 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.2-d_x-^m-a+b_arctan-c_x^n-^p.txt

Test file number \(148\)

Integral number in file \(51\)

2.1.10.57 Fricas [F(-2)]

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

[In]

integrate(1/x/arctan(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 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.2-d_x-^m-a+b_arctan-c_x^n-^p.txt

Test file number \(148\)

Integral number in file \(52\)

2.1.10.58 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: RuntimeError >> no explicit roots found

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.3-d+e_x-^m-a+b_arctan-c_x^n-^p.txt

Test file number \(149\)

Integral number in file \(28\)

2.1.10.59 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: RuntimeError >> no explicit roots found

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.3-d+e_x-^m-a+b_arctan-c_x^n-^p.txt

Test file number \(149\)

Integral number in file \(29\)

2.1.10.60 Fricas [F(-2)]

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

[In]

integrate(x*(a^2*c*x^2+c)*arctan(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 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(687\)

2.1.10.61 Fricas [F(-2)]

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

[In]

integrate((a^2*c*x^2+c)*arctan(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 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(688\)

2.1.10.62 Fricas [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(689\)

2.1.10.63 Fricas [F(-2)]

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

[In]

integrate(x*(a^2*c*x^2+c)^2*arctan(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 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(691\)

2.1.10.64 Fricas [F(-2)]

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

[In]

integrate((a^2*c*x^2+c)^2*arctan(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 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(692\)

2.1.10.65 Fricas [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(693\)

2.1.10.66 Fricas [F(-2)]

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

[In]

integrate(x*(a^2*c*x^2+c)^3*arctan(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 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(695\)

2.1.10.67 Fricas [F(-2)]

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

[In]

integrate((a^2*c*x^2+c)^3*arctan(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 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(696\)

2.1.10.68 Fricas [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(697\)

2.1.10.69 Fricas [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(699\)

2.1.10.70 Fricas [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(700\)

2.1.10.71 Fricas [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(701\)

2.1.10.72 Fricas [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(703\)

2.1.10.73 Fricas [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(704\)

2.1.10.74 Fricas [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(705\)

2.1.10.75 Fricas [F(-2)]

Exception generated. \[ \int \frac {\sqrt {\arctan (a x)}}{x^4 \left (c+a^2 c x^2\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(arctan(a*x)^(1/2)/x^4/(a^2*c*x^2+c),x, algorithm="fricas")

[Out]

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

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(706\)

2.1.10.76 Fricas [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(708\)

2.1.10.77 Fricas [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(709\)

2.1.10.78 Fricas [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(710\)

2.1.10.79 Fricas [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(711\)

2.1.10.80 Fricas [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(712\)

2.1.10.81 Fricas [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(714\)

2.1.10.82 Fricas [F(-2)]

Exception generated. \[ \int \frac {x^4 \sqrt {\arctan (a x)}}{\left (c+a^2 c x^2\right )^3} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^4*arctan(a*x)^(1/2)/(a^2*c*x^2+c)^3,x, algorithm="fricas")

[Out]

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

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(715\)

2.1.10.83 Fricas [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(716\)

2.1.10.84 Fricas [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(717\)

2.1.10.85 Fricas [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(718\)

2.1.10.86 Fricas [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(719\)

2.1.10.87 Fricas [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(720\)

2.1.10.88 Fricas [F(-2)]

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

[In]

integrate(x^2*(a^2*c*x^2+c)^(1/2)*arctan(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 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(722\)

2.1.10.89 Fricas [F(-2)]

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

[In]

integrate(x*(a^2*c*x^2+c)^(1/2)*arctan(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 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(723\)

2.1.10.90 Fricas [F(-2)]

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

[In]

integrate((a^2*c*x^2+c)^(1/2)*arctan(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 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(724\)

2.1.10.91 Fricas [F(-2)]

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

[In]

integrate(x^2*(a^2*c*x^2+c)^(3/2)*arctan(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 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(726\)

2.1.10.92 Fricas [F(-2)]

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

[In]

integrate(x*(a^2*c*x^2+c)^(3/2)*arctan(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 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(727\)

2.1.10.93 Fricas [F(-2)]

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

[In]

integrate((a^2*c*x^2+c)^(3/2)*arctan(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 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(728\)

2.1.10.94 Fricas [F(-2)]

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

[In]

integrate(x^2*(a^2*c*x^2+c)^(5/2)*arctan(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 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(730\)

2.1.10.95 Fricas [F(-2)]

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

[In]

integrate(x*(a^2*c*x^2+c)^(5/2)*arctan(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 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(731\)

2.1.10.96 Fricas [F(-2)]

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

[In]

integrate((a^2*c*x^2+c)^(5/2)*arctan(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 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(732\)

2.1.10.97 Fricas [F(-2)]

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

[In]

integrate(x^3*arctan(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 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(734\)

2.1.10.98 Fricas [F(-2)]

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

[In]

integrate(x^2*arctan(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 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(735\)

2.1.10.99 Fricas [F(-2)]

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

[In]

integrate(x*arctan(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 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(736\)

2.1.10.100 Fricas [F(-2)]

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

[In]

integrate(arctan(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 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(737\)