Could anyone help me integrate the expression below? Its form is a bit nasty, containing both exponential and power functions.
F(X) = X^n/[1+exp(X)], n is a positive real number, does not have to be an integer.
Really urgent to get answer. Thanks!
If the limits are 0 and then the integral can be expressed in terms of by writing as and using the binomial expansion.
If the limits are t and -t, then the integral will clearly be zero if n is odd; if n is even, it can be found by making the substitution x = -y.