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  4. ∫[sin (log x)+cos(log x)]dx is equal to

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Q. $ \int\left[sin \left(log\,x\right)+cos\left(log\,x\right)\right]dx $ is equal to

MHT CETMHT CET 2009

Solution:

$ \int[\sin (\log x)+\cos (\log x)] d x $
$=\int \frac{d}{d x}\{x \sin (\log x)\} d x $
$=x \sin (\log x)+c$