Integral Calculus Question 29

Question: $ \int_{{}}^{{}}{\frac{{e^{\sqrt{x}}}\cos {e^{\sqrt{x}}}}{\sqrt{x}}dx}= $

Options:

A) $ 2\sin ({e^{\sqrt{x}}}) $

B) $ \sin ({e^{\sqrt{x}}}) $

C) $ 2\cos ({e^{\sqrt{x}}}) $

D) $ -2\sin ({e^{\sqrt{x}}} )$

Show Answer

Answer:

Correct Answer: A

Solution:

Put $ {e^{\sqrt{x}}}=t\Rightarrow \frac{{e^{\sqrt{x}}}}{\sqrt{x}}=,2dt $ , (Now proceed yourself).