Question:medium
$\int e^{x}[\frac{1}{1+x}-\frac{1}{(1+x)^{2}}]dx=$ ________.
$\int e^{x}[\frac{1}{1+x}-\frac{1}{(1+x)^{2}}]dx=$ ________.
Show Hint
Always look for $f(x) + f'(x)$ when you see $e^x$ in an integral.
Updated On: Jun 24, 2026
- $\frac{e^{x}}{1+x}+C$
- $\frac{xe^{x}}{1+x}+C$
- $e^{x}(1+x)^{2}+C$
- $\frac{e^{x}}{(1+x)^{2}}+C$
- $\frac{e^{x}}{1+x^{2}}+C$
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The Correct Option is A
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