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Show that int(0)^(a)x(a-x)^(n)dx=(a^(n+2...

Show that `int_(0)^(a)x(a-x)^(n)dx=(a^(n+2))/((n+1)(n+2))`.
Hence find `int_(0)^(2) x sqrt(2- x )dx`

Text Solution

Verified by Experts

The correct Answer is:
`(16sqrt(2))/(15)`
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