Prove that 1 `le int_(0)^(1) e^(x^(2))dxle e`

int_(-4)^(1) e^(x) dx .

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

int_0^(1) x^(2).e^(x) dx =

Prove that 4le int_(1)^(3) sqrt(3+x^(3)) dx le 2sqrt30 .

int_(-1)^(1) (x+1)e^(x)dx

Prove the following int_(0)^(1)xe^(x)dx=1

Prove that int_(0)^(25)e^(x-[x])dx=25(e-1) .

The value of int_0^1 (1 + e^(-x^2)) dx is :

Prove that int_(0)^(a) f(x) dx = int_(0)^(a) f(a - x)dx and hence evaluate the following: (e) int_(0)^(2)xsqrt(2 - x) dx .