Q. 54.0( 41 Votes )

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Answer :

Let


let cos x=t


Differentiating both sides, we get,

-sin x dx=dt





By integartion by parts

u v dx = uv dx −u' (v dx) dx 

where u is the function u(x), v is the function v(x) and u' is the derivative of the function u(x).

Here u(x) = loge t and v(x) = 1




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