Integrals 901 to 1000

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 \(183\)

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 \(184\)

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 \(185\)

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 \(186\)

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 \(187\)

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 \(188\)

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 \(189\)

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 \(190\)

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 \(191\)

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 \(192\)

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 \(193\)

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 \(194\)

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 \(195\)

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 \(196\)

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 \(197\)

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 \(198\)

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 \(199\)

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 \(200\)

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 \(201\)

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 \(202\)

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 \(37\)

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 \(38\)

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 \(39\)

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 \(40\)

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 \(41\)

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 \(42\)

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 \(43\)

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 \(44\)

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 \(69\)

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 \(87\)

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 \(88\)

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 \(89\)

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 \(90\)

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 \(91\)

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 \(92\)

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 \(93\)

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 \(94\)

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 \(95\)

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 \(96\)

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 \(97\)

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 \(98\)

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 \(99\)

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 \(100\)

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 \(107\)

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 \(115\)

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 \(41\)

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 \(42\)

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 \(43\)

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 \(44\)

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 \(45\)

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 \(46\)

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 \(47\)

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 \(48\)

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 \(49\)

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 \(50\)

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 \(51\)

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 \(52\)

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 \(28\)

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 \(29\)

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 \(687\)

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 \(688\)

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 \(689\)

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 \(691\)

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 \(692\)

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 \(693\)

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 \(695\)

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 \(696\)

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 \(697\)

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 \(699\)

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 \(700\)

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 \(701\)

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 \(703\)

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 \(704\)

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 \(705\)

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 \(706\)

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 \(708\)

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 \(709\)

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 \(710\)

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 \(711\)

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 \(712\)

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 \(714\)

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 \(715\)

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 \(716\)

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 \(717\)

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 \(718\)

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 \(719\)

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 \(720\)

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 \(722\)

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 \(723\)

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 \(724\)

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 \(726\)

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 \(727\)

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 \(728\)

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 \(730\)

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 \(731\)

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 \(732\)

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 \(734\)

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 \(735\)

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 \(736\)

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 \(737\)