What is the value of `e^x*e^-x =?`

What is the value of int a^(x)e^(x)dx

What is the value of inta^(x)e^(x)dx ?

Find the value of e^x + e^(-x)

What is the derivative of e^(e^(x)) with respect to e^(x) ?

What is the value of int_0^1 (x-1) e^(-x) dx

What is the derivative of e^(x) with respect to x^(e ) ?

What is the value of int_(0)^(1)(x-1)e^(-x) dx ?

If f(x)=(tan((pi)/(4)+log_(e)x))^(log_(x)e) is to be made continuous at x=1, then what is the value of f(1)?

If x_(1),x_(2),x_(3),……………..x_(13) are in A.P. then the value of |(e^(x_(1)),e^(x_(4)),e^(x^(7))),(e^(x_(4)),e^(x_(7)),e^(x_(10))),(e^(x_(7)),e^(x_(10)),e^(x_(13)))| is