1. Trig Integration

Integral of cos^6x dx

Ive tried breaking it apart different powers but I can't figure out the correct combination.

2. Originally Posted by ff4930
Integral of cos^6x dx

Ive tried breaking it apart different powers but I can't figure out the correct combination.
try integration by parts

3. This problem said to solve it using trig.

breaking it into

cos^4x and cos^2x dont seem to help
=(1-sin^2x)^2 cos^2x

4. Re:

Re:

5. Problem is cos^6x not sin^6x

6. Originally Posted by ff4930
Integral of cos^6x dx
As Jhevon already told ya, integrate by parts.

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But, it doesn't make much sense to integrate $\displaystyle \cos^6x,$ so I'd prefer to compute

$\displaystyle \int\cos^nx\,dx$

which contains a lot of sense, I mean, a reduction formula.