Answer :

Let

let cos x=t

Differentiating both sides, we get,

⇒ -sin x dx=dt

By integartion by parts

∫u v dx = u∫v 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) = log_{e} t and v(x) = 1

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