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integrate the function x sin x...

integrate the function `x sin x`

Text Solution

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` =x int sin x dx - int {(d)/(dx)x int sin x dx }dx`
(Taking x as first fucntions)
=x(-cos x) - `int 1. ` (-cos x) dx
=- cos x+c `int cos ` x dx
=- x cos x+ sin x+C
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