int_(0)^(2)(x-1)/(|x+1|)dx

" (iii) "1=int_(0)^(1)(x-1)(x+2)dx

If A=int_(0)^(1)(e^(x))/(x+1)dx then int_(0)^(1)(x^(2)e^(x))/(x+1)dx=

int_(0)^(1)(x-1)/(x^(2)-1)dx

int_(0)^(2)((x-1)^(2)sin(x-1) dx)/((x-1)^(2)+cos(x-1))

int_(0)^(1)(2x-1)/(1+x-x^(2))dx

Prove that int_(0)^(1)log((x)/(x-1))dx=int_(0)^(1)log((x-1)/(x))dx . Find the value of int_(0)^(1)log((x)/(x-1))dx

Evaluate : (i) int_(0)^(1//2)(dx)/(sqrt(1-x)) (ii) int_(0)^(1)((1-x)/(1+x))dx

int_(0)^(1)(x+1)/(x^(2)+1)dx

int_(0)^(2)((x^(4)+1))/((x^(2)+1))dx

Evaluate the following definite integral: int_(0)^(1)(1)/(2x^(2)+x+1)dx