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

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

int_(0)^(3)(x^(2)+1)dx

Evaluate : (i) int_(-oo)^(oo) (dx)/(x^(2)+2x+2) , (ii) int_(sqrt(2))^(oo)(dx)/(xsqrt(x^(2)-1)) , (iii) int_(0)^(4)(x^(2))/(1+x)dx (iv) int_(0)^(pi//2) sqrt(costheta)sin^(3)theta

Show that int_(0)^(2)(2x+1)dx = int_(0)^(5)(2x+1)+int_(5)^(2)(2x+1)

int_(0)^(10)|x(x-1)(x-2)|dx is equal to

int_(0)^(1)x^(2)(1-x)^(3)dx is equal to

int_(0)^(1)x e^(x^(2)) dx

1. int_(0)^(2)3x^(2)dx

The value of int_(0)^(2)[x^(2)-x+1] dx (where , [.] denotes the greatest integer function ) is equal to

Let I= int_(0)^(1) (e^(x))/( x+1) dx, then the vlaue of the intergral int_(0)^(1) (xe^(x^(2)))/( x^(2)+1) dx, is