[DTube] Integral of ∫cos^4(x)dx using the Reduction Formula

in #steemstem • 6 years ago (edited)

In this video, we work through the process of solving the integral of ∫cos^4(x)dx.

The main aim is to reduce the power down to unity. We can do this either by using the half-angle formula like so...

cos^4(x) = [cos^2(x)]^2 = [1/2+cos(2x)/2]^2

But this way, we have to apply the half-angle formula twice. A more efficient way would be to use the reduction formula for the integral of powers of cosine.

Please watch the video for the full tutorial.

Thanks for watching. Please give me a "thumbs up" if you have found this video helpful.

Please ask me a maths question by commenting below and I will try to help you in future videos.

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6 years ago in #steemstem by
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