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Evaluate the following integrals : intco...

Evaluate the following integrals : `intcos^(-1)(sinx)dx`

Text Solution

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`cos^(-1)(sinxx)=cos^(-1)[cos(pi/20x)]`
`=pi/2-x`
`intcos^(-1)(sinx)dx=int(pi/2-x)dx`
`=intpi/2dx-intxdx`
`=pi/2 2x-x^2/2+c`.
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