Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Indefinite Integration

Question:

Find the integral: $\int (\sin x + \cos x) \, dx$

Options:

$\cos x - \sin x + C$

$\sin x-\cos x + C$

$-\cos x - \sin x + C$

$\cos 2x+C$

Correct Answer:

$\sin x-\cos x + C$

Explanation:

The correct answer is Option (2) → $\sin x-\cos x + C$

We have

$\int (\sin x + \cos x) \, dx = \int \sin x \, dx + \int \cos x \, dx \text{}$

$= -\cos x + \sin x + C \text{}$