Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Indefinite Integration

Question:

If $\int f(x)dx=-\cos\sqrt{x}+c$, then f(x) =

Options:

$\sin \sqrt{x}$

$\frac{\sin \sqrt{x}}{\sqrt{x}}$

$2\cos \sqrt{x}$

None of these

Correct Answer:

None of these

Explanation:

$\int f(x)dx=-\cos\sqrt{x}+c$ so differentiate on both sides wrt x

$f(x)=\frac{\sin \sqrt{x}}{2\sqrt{x}}$