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**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 is supposed to be a much simpler way to solve these definite integrals without working out the entire indefinite solution.

## Homework Equations

X(j0) = Integral from -Infinity to Infinity : x(t)dt

x(0) = Integral from -Infinity to Infinity: X(jw)dw