Use a table of integrals to evaluate the following integrals. int cos^(3)xdx

Jefferson Booth

Jefferson Booth

Answered question

2022-11-11

Use a table of integrals to evaluate the following integrals. cos 3 x d x

Answer & Explanation

kliersel12g

kliersel12g

Beginner2022-11-12Added 13 answers

cos 3 x d x
Formula: cos 3 u d u = 1 3 ( 2 + cos 2 u ) sin u + C
Let u=x
Therefore,
cos 3 x d x = 1 3 ( 2 + cos 2 x ) sin x + C
Simplify
cos 3 x d x = 2 3 sin x + 1 3 cos 2 x sin x + C
Result:
2 3 sin x + 1 3 cos 2 x sin x + C

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