CUET Preparation Today
The value of $∫e^x[f(x)+f'(x)]dx$ is : |
$e^x+f(x)+C$ $e^x-f(x)+C$ $2e^x.f(x)+C$ $e^x.f(x)+C$ |
$e^x.f(x)+C$ |
The correct answer is Option (4) → $e^x.f(x)+C$ we know that $\frac{d}{dx}(e^xf(x))=e^x(f(x)+f'(x))$ $⇒\int e^x(f(x)+f'(x))dx=e^xf(x)$ |
