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int_0^(pi/4) xsinxdx

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Solution :`int_0^(pi/4) xsinxdx`
[integrating by PARTS taking xas FIRST and sinx as second function]
`[x-(-cosx)]_0^(pi/4)-int_0^(pi/4)(-cosx)DX`
`(-pi/4)cos(pi/4)+[sinx]_o^(pi/4)`
`(-pi/4)cos(pi/4)+sin(pi/4)-sin0=(1/sqrt2)(1-(pi/4))`


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