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Evaluate int[sin(logx)+cos(logx)]dx...

Evaluate `int[sin(logx)+cos(logx)]dx`

Text Solution

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`int[sin (log x)+cos (log x)] d x `
` =int sin (log x) d x+int cos (log x) d x`
Integrating by parts,
` =x sin (log x)-int cos (log x) d x+int cos (log x) d x `
` =x sin (log x)+c`
`
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