Problem 1 use the integration by part to evaluate the

Question

Problem 1: Use the integration by part to evaluate the following:

1. ? e^sx sin xdx, where s is some complex number

2. ?^L-L (1 - 2x) sin 2 Πx/L dx and ?^L-L (1 - 2x) cos 2 Πx/L dx, where L is a positive real number.

3. ?₀^∞ te ^-t e -^st dt, where s is some complex number with real part greater than -1.