With the help of these two formulas, sin^2 and cos^2 can be reduced to first-power cosines, which is something that's really helpful if: 1) you have to do really hard trig proofs, or 2) integrate a sine^2.

Integrating Powers of Sine and Cosine

When it comes to integrating powers of trig functions, your strategy needs to include memorizing a set of rules based on whether the exponents are even or odd, and which trig functions are involved. This video covers you for even and odd exponents of sine and cosine.

Integrating Powers of Tan & Cot

When it comes to integrating powers of trig functions, your strategy needs to include memorizing a set of rules based on whether the exponents are even or odd, and which trig functions are involved. This video covers you for even and odd exponents of tangent and cotangent (without secants).

Integrating Powers of Secant & Co-Secant (with Tan & Cot)

When it comes to integrating powers of trig functions, your strategy needs to include memorizing a set of rules based on whether the exponents are even or odd, and which trig functions are involved. This video covers you for even and odd exponents of secant and co-secant, often including secant & co-secant.

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If you do not have an account, you should get one, because it is awesome! You can save a playlist for each test or each chapter, and save your "greatest hits" into a "watch right before the final" list (not that we recommend cramming, but when in Rome...)