Q.`int` `e^{log(sin x)}`  `dx`  is equal to = ? A) `sin x + c` B) `-cos x + c` C) `e^{log(cos x)} + c` D) None of these

aruv | Student

We will answer this question in different way.

`A `


so A is not possible

B     `d/(dx) (-cos(x))=sin(x)`

B is not possible.

C. `d/(dx)(e^(log (cos(x))))=e^(log(cos(x)))(1/cos(x))(-sin(x))`

Thus C is not possible.

So correct answer to your question is D.