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

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.

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