Question:medium
$\int \frac{x e^x}{(1+x)^2} \, dx$ is equal to:
$\int \frac{x e^x}{(1+x)^2} \, dx$ is equal to:
Show Hint
Whenever you see $e^x$ multiplied by a rational function, always check if you can split the fraction into the form $f(x) + f'(x)$.
Updated On: May 6, 2026
- \( \frac{-e^x}{x+1} + C \)
- \( \frac{e^x}{x+1} + C \)
- \( \frac{xe^x}{x+1} + C \)
- \( \frac{-xe^x}{x+1} + C \)
- \( \frac{e^x}{(x+1)^2} + C \)
Show Solution
The Correct Option is B
Solution and Explanation
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