I have the integral from 0 to pi of sin^4(3x)dx.

This should be really easy, and I can see that I probably need to use the half angle trig identity. However, I'm not seeing how the 3x might mess that identity up. How does this work?

- May 31st 2010, 05:06 PMcharleschafskyHaving an issue with a seemingly simple integration with trig.
I have the integral from 0 to pi of sin^4(3x)dx.

This should be really easy, and I can see that I probably need to use the half angle trig identity. However, I'm not seeing how the 3x might mess that identity up. How does this work? - May 31st 2010, 05:19 PMpickslides
Here's a start

Expand and then reduce using - May 31st 2010, 05:26 PMskeeter
- May 31st 2010, 06:15 PMAllanCuz
Could we not take advantage of the reduction formula for sin here? It's already computed for us (Clapping)