- #1

- 986

- 9

## Homework Statement

Show that

∫sin(ax) / x

^{p}dx interval: [0, ∞]

converges if 0 < p < 2.

## Homework Equations

This is the chapter where we learn that ∫f(x)g(x)dx converges if ∫f(x)dx is bounded and g'(x) is continuous, g'(x) < 0, and g(x) --> 0.

## The Attempt at a Solution

I can't figure out where to start. Should I use g(x) = 1 / x

^{p}?