Integral Calculus Question 375

Question: $ \int_{{}}^{{}}{{e^{\log (\sin x)}}dx=} $

[MP PET 1995]

Options:

A) $ \sin x+c $

B) $ -\cos x+c $

C) $ {e^{\log (\cos x)}}+c $

D) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

$ \int_{{}}^{{}}{{e^{\log (\sin x)}}dx}=\int_{{}}^{{}}{\sin x,dx}=-\cos x+c. $