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

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

int_(0)^(4)(x+e^(2x))dx

If f(x) is continuous and int_(0)^(9)f(x)dx=4 , then the value of the integral int_(0)^(3)x.f(x^(2))dx is

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

Evaluate: int_(0)^(3) (2x^(2) +3x + 5)dx , expressing as a limit of sum

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

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

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

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

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