Question

integrate with proper solution

Answer 1

\[\int\limits_{?}^{?} \sin ^{4}\theta \cos ^{4}\theta d \theta \]

Answer 2

indefinite integral

Answer 3

I believe it would be best to try and use a power reducing formula on both sin and cosine. If you can reduce them to functions of a single power, you can then integrate quite easily.

Answer 4

do i need to use trigo identities for this problem? if i need to which identities should i use?

Answer 5

Yes, you need power-reducing formula. The formulas are this:
\[\sin ^{2}\theta=\frac{ 1-\cos(2\theta) }{ 2 } \]
\[\cos ^{2}\theta = \frac{ 1+\cos(2\theta) }{ 2 } \]
You just would need to do it multiple times with your problem.

Answer 6

thanks

Answer 7

Yep, np :3