The value of $∫e^x[f(x)+f'(x)]dx$ is :
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → $e^x.f(x)+C$
we know that
$\frac{d}{dx}(e^xf(x))=e^x(f(x)+f'(x))$
$⇒\int e^x(f(x)+f'(x))dx=e^xf(x)$
The value of $∫e^x[f(x)+f'(x)]dx$ is :
Correct answer: option 4
The correct answer is Option (4) → $e^x.f(x)+C$
we know that
$\frac{d}{dx}(e^xf(x))=e^x(f(x)+f'(x))$
$⇒\int e^x(f(x)+f'(x))dx=e^xf(x)$