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How do you integrate #cos^3 x#?

1 Answer

Nov 28, 2016

#intcos^3xdx=-sin^3x/3+sinx+C# See explanation.

Explanation:

#intcos^3xdx=intcos^2x*cosxdx=int(1-sin^2x)cosxdx=|(t=sinx),(dt=cosxdx)|=int1-t^2dt=t-t^3/3+C = -sin^3x/3+sinx+C#

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