\displaystyle\int^\infty_0 2te^-^a^t\cos(t)\,dt = ?}
I'm not entirely sure how to manipulate this.. the e^-^a^t makes it so the function is neither even nor odd anymore.. even if I pulled the even part out to rewrite the function so its integrated from -infinity to infinity I'm unsure about...
1. Using Fourier Transforms to solve Definite Integrals with Limits 0 to Infinity
I'm trying to understand how to use Fourier Transforms to solve Definite Integrals with limits from 0 to Infinity.
I understand how to use Fourier Transforms to solve indefinite integrals, but I believe there...