Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

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#

Related questions

See all questions in Integrals of Trigonometric Functions

Impact of this question

2325 views around the world

You can reuse this answer
Creative Commons License