[DTube] Reduction Formula for Integral of ∫tan^n(x)dx

in #steemstem • 6 years ago (edited)

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In this video, we work through the derivation of the reduction formula for the integral of tann(x) or [tan(x)]n.

We can approach this problem by first reserving a tan2(x), so we write:

e2.png

The by the Pythagorean Identity, we can express tan2(x) as sec2(x)-1, so...

e3.png

Thus we end up with 2 integrals.

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6 years ago in #steemstem by
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