e^x (1-x/1+x^2)^2 dx = Option 1: e^x/1+x^2 + C Option 2: -e^x/1+x^2 + C Option 3: e^x/(1+x^2)^2 + C Option 4: -e^x/(1+x^2)^2 + C

The answer is 'e^x/1+x^2 + C'. View full solution:

CUET Mathematics - e^x (1-x/1+x^2)^2 dx = | PYQs + Solutions

CUET Mathematics 2023 22 May Shift 3

Calculus

Medium

$\frac{e^x}{1+x^2} + C$

$-\frac{e^x}{1+x^2} + C$

$\frac{e^x}{(1+x^2)^2} + C$

$-\frac{e^x}{(1+x^2)^2} + C$

✅ Correct Option: 1

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Match List-I with List-II

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For $x > 1$ , $\int \frac{e^{7\log x} - e^{5\log x}}{e^{5\log x} - e^{4\log x}} dx$ equals.

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Match List-I with List-II

List-I	List-II
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