Write an integral that requires three applications of integration by parts. Explain why three applications are needed.

piopiopioirp

piopiopioirp

Answered question

2022-11-04

Write an integral that requires three applications of integration by parts. Explain why three applications are needed.

Answer & Explanation

kliersel12g

kliersel12g

Beginner2022-11-05Added 13 answers

An integral that requires three applications of integration by parts is:
x 3 cos x d x ,
because we want to lose x 3 inside the integral. After each application of integration by parts degree of x 3 will be less by one, which means that after three applications x 3 will become a constant.

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