Practicing Success
CUET Preparation Today
CUET
-- Mathematics - Section A
Indefinite Integration
$∫(x-1)e^{-x}dx=$
$-xe^x+C$
$xe^x+C$
$xe^{-x}+C$
$-xe^{-x}+C$
The correct answer is Option (4) → $-xe^{-x}+C$
$∫e^{-x}(x-1)dx$
$=∫-e^{-x}(x-1)dx$
$=∫\frac{d}{dx}(-xe^{-x})dx=-xe^{-x}+C$