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

lwfrgin

lwfrgin

Answered question

2021-06-11

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

Answer & Explanation

likvau

likvau

Skilled2021-06-12Added 75 answers

An integral that requires three applications of integration by parts is:
x3cosxdx
because we want to lose x3 inside the integral. After each application of integration by parts degree of x3 will be less by one, which means that after three applications x3 will become a constant.

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