Evaluate `int_(-infty)^(infty) x.e^(-x^2)dx`

Evaluate int_(0)^(infty) e^(-x)x^(3)dx .

A circular coil of N turns carries a current I. Field at a distance x from centre of the loop on its axis is B. Write the value of integral int_(-infty)^(infty) B.dx .

The value of int _(0)^(infty)e-^(a^(2)x^(2)) dx is equal to

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

0.) The value of int_(0)^(infty)(a)/(x^(2)+a^(2))dx is : "

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

Evaluate : int_(0)^(4)x.e ^(2x) dx