`int_0^1 e^x dx`

Prove that int_0^1x e^x dx=1

Evaluate: int_0^1x\ e^x dx

Evaluate the following integral: int_0^1x e^x^2dx

If int_0^1e^-x^2dx=a , then find the value of int_0^1x^2e^-x^2dx in terms of a .

Evaluate each of the following integral: int_0^1x\ e^x^2dx

If [dot]a n d\ {dot} denote respectively the greatest integer and fractional part functional respectively, evaluate the following integral: int_0^1e^([x])dx

The value of the integral int_0^1e^x^2_dx lies in the interval (a) (0,1) (b) (-1,0) (c) (1, e) (d) none of these

The value of int_0^1 e^(x^2)dx is (A) less than e (B) greater than 1 (C) less than e but greater than 1 (D) all of these

L e tI_1=int_0^1(e^xdx)/(1+x) a n dI_2=int_0^1(x^2dx)/(e^(x^3)(2-x^3))dot tehn (I_1)/(I_2) is equal to (a)3/e (b) e/3 (c) 3e (d) 1/(3e)

If int_0^1e^ (-x^2) dx=a , then find the value of int_0^1x^2e^ (-x^2) dx in terms of a .