In this video I go over another example on trigonometric integrals and evaluate the integral of sin(x) ⁵cos(x)². In solving this I use the method shown in my earlier example by writing the integrand (the function being integrated) as containing only one sine term and the rest cosine terms and then using the substitution rule to simplify the integral.

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Trigonometric Integrals: Example 2

Example:

Solution:

Recall from my last video that when dealing with trig powers it is best to write the integral with one cos or sin term and the rest sin or cos terms.

We could write:

But we'll have no cosine term! Instead we can separate a single sine term: