How Do You Take The Antiderivative Of Cos(lnx)/x

EliteDan

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How do you take the antiderivative of cos(lnx)/x

 

Answer No.1

Anonymous

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I = Integral [ ( cos ( ln x ) ) / x ] dx u = ln x du / dx = 1 / x dx = x du I = Integral [ ( cos ( ln x ) ) /x ] dx = Integral [ cos ( u ) ] du = sin ( u ) + C = sin ( ln x ) + C

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