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## Homework Statement

Find the area of the region between x=-pi/6 and x=pi/4 above the x-axis and below the graph of:

y=cos(2x)(8-cos(2x))

## Homework Equations

## The Attempt at a Solution

I know I need to reformulate the expression somehow so that it is easier to integrate, and I'm guessing it's a double angle formula like:

cos (2x) = 2 cos^2 x -1

but I can't seem to bring it all together to find something I know how to integrate.

Any hints? This is an assignment question, so I'd like to know how to do it properly. I've also changed a few of the values (but not the argument of the trig functions).