Evaluate the following definite integral. \int_{0}^{a}(\sqrt{a}-\sqrt{x})^{2}dx

e1s2kat26

e1s2kat26

Answered question

2021-10-23

Evaluate the following definite integral.
0a(ax)2dx

Answer & Explanation

smallq9

smallq9

Skilled2021-10-24Added 106 answers

0a(ax)2dx=0a(a+x2ax)dx
=[ax+x222a(2x32)3]0a
=a2+a222a(2(a)32)30
=3a224a23
=9a28a26
=a26
Jeffrey Jordon

Jeffrey Jordon

Expert2021-11-08Added 2605 answers

Answer is given below (on video)

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