[int_(2)^(3)(2x^(5)+x^(4)-2x^(3)+2x^(2)+1)/((x^(2)+1)(x^(4)-1))dx=],[0],[(3)/(2)log2-10],[(3)/(2)log2]

int_(0)^(3)(2x^(5)+x^(4)-2x^(3)+2x^(2)+1)/((x^(2)+1)(x^(4)-1))dx

int(x ln x)/((x^(2)-1)^((3)/(2)))dx

int_(1)^(3) (dx)/(x^(2)(x+1))=(2)/(3)+log .(2)/(3)

int_(1)^(3) (dx)/(x^(2)(x+1))=(2)/(3)+log .(2)/(3)

int_(1)^(3)(dx)/(x^(2)(x+1))=(2)/(3)+(log2)/(3)

int(sqrt(x^(2)+1)(log(x^(2)+1)-2log x))/(x^(4))dx

int((log x)^(2)-log x+1)/(((log x)^(2)+1)^((3)/(2)))dx

The value of int_(0)^(1)(2x^(2)+3x+3)/((x+1)(x^(2)+2x+2))dx is (a) (pi)/(4)+2log2-tan^(-1)2(b)(pi)/(4)+2log2-(tan^(-1)1)/(3)(c)2log2-cot^(-1)3 (d) -(pi)/(4)+log4+cot^(-1)2