Integral Calculus Question 330

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

[MP PET 1987; IIT 1990; SCRA 1996; RPET 2001]

Options:

A) $ 2\cos \sqrt{x}+c $

B) $ 2\sin \sqrt{x}+c $

C) $ \sin \sqrt{x}+c $

D) $ \frac{1}{2}\cos \sqrt{x}+c $

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Answer:

Correct Answer: B

Solution:

Put $ \sqrt{x}=t\Rightarrow \frac{1}{2\sqrt{x}}dx=dt $ .