use integration by partsOriginally Posted byNichelle14

integral of {x}*{f'(x)*f(x)} dx from a to b

={x*f^2(x)/2 from a to b} - {integral of 1*f^2(x)/2 dx from a to b}

={b*f^2(b)- a*f^2(a)} -2/2

=b*0 -a*0 -1

= -1

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