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## Homework Statement

[itex]\int cos^6(x)[/itex]

## Homework Equations

[itex]1 = sin^2(x) + cos^2(x)[/itex]

## The Attempt at a Solution

[itex]\int cos(x) * cos^5(x)[/itex]

[itex]\int cos(x) * (cos^2(x))^3[/itex]

[itex]\int cos(x) * (1-sin^2(x))^3[/itex]

This is where I got lost, we just started this topic and I have a lot of homework to do, but I can't get past this question. Please help!