# Absolute Value Integration

## Homework Statement

$$\int_{-3}^{3}|t|e^{-jwt}dt$$

## The Attempt at a Solution

I am not sure if I need to break this into two regions due to the abs value...

## Answers and Replies

CompuChip
$$\int_{-3}^3 |t| e^{-j \omega t} \, dt = \int_{0}^3 t e^{-j \omega t} \, dt - \int_{-3}^0 t e^{-j \omega t} \, dt$$
$$\int_{-3}^3 |t| \cos(\omega t) \, dt + j \int_{-3}^3 |t| \sin(\omega t) \, dt$$