- #1
tangibleLime
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Homework Statement
\int 17sin^3(\theta)cos^5(\theta)d\theta
Homework Equations
The Attempt at a Solution
\int 17sin^3(\theta)cos^5(\theta)d\theta
Pulling out constant, breaking up the sin^3.
17 \int sin^2(\theta)cos^5(\theta)sin(\theta)d\theta
Using the trig identity to replace the sin^2
17 \int (1-cos^2(\theta))cos^5(\theta)sin(\theta)d\theta
Using u-subs to get rid of the other sin.
u = cos(\theta), du = sin(\theta)d\theta
17 \int (1-u^2)u^5 du
17 \int u^5-u^7 du
17[\frac{u^6}{6}-\frac{u^8}{8}]
Subbing back in for u.
17[\frac{cos^6\theta}{6}-\frac{cos^8\theta}{8}]
Homework software says incorrect. Any hints would be great!
