`int_(0)^(2)(3x^(2)-1)dx`

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

(3) (a) int_(0)^(2)(x^(4)+1)dx

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

Evaluate :- int_(0)^(1)(3x^(2)+4)dx

Evaluate the following definite integrals. (a) int_(0)^(3)(x^(2)+1)dx (b) int_(2)^(3)(x^(3)-4x^(2)+5x-10)dx (c) int_(0)^(pi//4)(cosx-sinx)dx

If I_(1)=int_(0)^(1) 2^(x^(2)) dx, I_(2)=int_(0)^(1) 2^(x^(3)) dx, I_(3)=int_(1)^(2) 2^(x^(2))dx and I_(4)=int_(1)^(2) 2^(x^(3))dx then

If int_(0)^(1) x e^(x^(2) ) dx=alpha int_(0)^(1) e^(x^(2)) dx , then

(5)Value of int_(0)^(2)3x^(2)dx+int_(0)^(pi//2)sinxdx is

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

Evaluate (i) int_(0)^(pi)|cosx|dx (ii) int_(0)^(2)|x^(2)+2x-3|dx