What is the average value of the function h(x)=\cos^{4}x\sin x

Haylee Bowen

Haylee Bowen

Answered question

2022-04-18

What is the average value of the function h(x)=cos4xsinx on the interval [0,π]?

Answer & Explanation

libertydragonrbha

libertydragonrbha

Beginner2022-04-19Added 15 answers

The average value of cos4xsinx on [0,π] is
1π10πcos4xsinxdxUseu=cosx to integrate and get
1π[cosx5]0π=25π
Result:
25π

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