Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Indefinite Integration

Question:

$∫(x-1)e^{-x}dx=$

Options:

$-xe^x+C$

$xe^x+C$

$xe^{-x}+C$

$-xe^{-x}+C$

Correct Answer:

$-xe^{-x}+C$

Explanation:

The correct answer is Option (4) → $-xe^{-x}+C$

$∫e^{-x}(x-1)dx$

$=∫-e^{-x}(x-1)dx$

$=∫\frac{d}{dx}(-xe^{-x})dx=-xe^{-x}+C$