`int_(-1)^(3)sin(x-[x])dx`

int_(-1)^(1)sin^(2) x dx

Suppose that F(x) is an antiderivative of f(x)=(sin x)/(x),x>0, then int_(1)^(3)(sin2x)/(x)dx can be expressed as

Evaluate: int(1)/(x^(3))sin(log x)dx

int_(0)^(1)x sin(x-1)dx+int_(0)^(1)(1-x)sin xdx=

If I_(1)=int_(1-x)^(k) x sin{x(1-x)}dx and I_(2)=int_(1-x)^(k) sin{x(1-x)}dx , then

The value of int_(-1)^(1)(sin^(-1)x+(x^(5)+x^(3)-1)/(cosx))dx is equal to

int_(-a)^(a)Sin x+x^(3)dx

int_(-1)^(1) sin^(3) x cos^(2) x dx is equal to

int(1)/(3+4 sin x)dx

Evaluate: (i) int(1)/(sin^(3)x cos^(5)x)dx (ii) int(1)/(sin^(3)x cos x)dx