# Math Help - Integrate sin x cos^n x

1. ## Integrate sin x cos^n x

Hello

Q) ∫ sin x cos^n x dx

If you could let me know which identity to use that would be a great help.

Thank you.

2. Originally Posted by anees7112
Hello

Q) ∫ sin x cos^n x dx

If you could let me know which identity to use that would be a great help.

Thank you.
Use the substition

$u = \cos(x) \implies du=-\sin(x)$

This gives the integral

$-\int u^ndu$

3. Ah I see. Thank you very much, TheEmptySet!