∫ (sin √x)/√x dx = ?

Question

Mark (√) against the correct answer of the following:

\(\int \frac{sin \sqrt{x}}{\sqrt{x}}dx = ?\)

∫ (sin √x)/√x dx = ?

A. 2 cos √x + C

B. - 2 cos √x + C

C. \(-\frac{cos\sqrt{x}}{2}+C\)

D. \(\frac{cos\sqrt{x}}{2}+C\)

Answer 1

Correct answer is B.

Given = \(\int \frac{sin \sqrt{x}}{\sqrt{x}}\)

∫ (sin √x)/√x

where c is the integrating constant.