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:
cos 3 x sin 4 x d x
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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