Complex functions require manipulation so the
expression can be re-written in a form that fits one of the
'general' rules for integration. There is one general approach
for integrating expressions which multiply sine and cosine functions
raised to a power. For example:

$$\int {cos}^{3}x\phantom{\rule{3px}{0ex}}{sin}^{4}x\phantom{\rule{3px}{0ex}}dx$$

We can use a general approach when the exponent for cosine is odd.

When integrating a function of this form:

$$\int {cos}^{3}x\phantom{\rule{3px}{0ex}}{sin}^{4}x\phantom{\rule{3px}{0ex}}dx$$

We can use a general approach when the exponent for cosine is odd.

When integrating a function of this form:

- Break the cosine into the product that has one term as 'cos x' x
- Rewrite the equation in terms of sine (as much as possible)
- Use substitution to simplify the equation in simpler terms.

Recipe: COS Raised to Odd-Numbered Power

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