Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Indefinite Integration

Question:

The value of $∫e^x[f(x)+f'(x)]dx$ is :

Options:

$e^x+f(x)+C$

$e^x-f(x)+C$

$2e^x.f(x)+C$

$e^x.f(x)+C$

Correct Answer:

$e^x.f(x)+C$

Explanation:

The correct answer is Option (4) → $e^x.f(x)+C$

we know that

$\frac{d}{dx}(e^xf(x))=e^x(f(x)+f'(x))$

$⇒\int e^x(f(x)+f'(x))dx=e^xf(x)$