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Show that, int(0)^((pi)/(2))f(sin2x)sinx...

Show that, `int_(0)^((pi)/(2))f(sin2x)sinxdx=sqrt(2)int_(0)^((pi)/(4))f(cos2x)cosxdx`

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The correct Answer is:
`sqrt(2)int_(0)^((pi)/(4))f(cos2x)cosxdx`
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