`int(cos^(-1)x)/(x^(3))dx`

int_(-1/sqrt3)^(-1/sqrt3)(x^4)/(1-x^4)cos^(- 1)((2x)/(1+x^2))dx

Evaluate: int cos^(-1)sqrt(x)dx

Evaluate : int " cos"^(-1) .(1)/(x) dx

(i) int ((1+x)^(3))/(sqrt(x))dx " "(ii) int((1+x)^(3))/(x^(4)) dx

Evaluate: int cos^(-1) sqrt((x)/(x+1))dx

If A = int_(0)^((pi)/(2))(sin^(3)x)/(1+cos^(2)s)dx and B=int_(0)^((pi)/(2))(cos^(2)x)/(1+sin^(2)x)dx , then (2A)/(B) is equal to

int(sin x cos^(3)x)/(1+cos^(2)x)dx

Evaluate the following integrals int sqrt((cos x- cos^(3)x)/((1-cos^(3)x)))dx

(i) int(cos^(3) x+ sin^(3) x)/(sin^(2) x.cos ^(2) x)dx " "(ii) int(cos2x)/(cos^(2) x sin^(2)x) dx

(i) int (e^(x) .(1-x))/(x^(2))dx (ii) int ((1+sin x)/(1+cos x))e^(x) dx