Question

इंटीग्रेशन ऑफ cos (log x)/x​

Answer 1

Step-by-step explanation:

We have,

$\int \frac{ \cos( log(x) ) }{x} dx$

Let

$log(x) = t = > \frac{d}{dx}( log(x)) = \frac{dt}{dx}$

$= > \frac{1}{x} = \frac{dt}{dx}$

$= > \frac{dx}{x} = dt$

$\int \cos(t) dt$

$= \sin(t) + c$

$= \sin( log(x) ) + c$