x^2+1/(x+1)^2 e^x dx is equal to Option 1: (x-1/x+1) e^x + c, where c is a constant of integration Option 2: (1-x/x+1) e^x + c, where c is a constant of integration Option 3: (x/x+1) e^x + c, where c is a constant of integration Option 4: 2e^x/x+1 + c, where c is a constant of integration

The answer is '(x-1/x+1) e^x + c, where c is a constant of integration'. View full solution:

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

CUET Mathematics 2022 16 July Shift 2

Calculus

Hard

$\left(\frac{x-1}{x+1}\right) e^x + c$ , where c is a constant of integration

$\left(\frac{1-x}{x+1}\right) e^x + c$ , where c is a constant of integration

$\left(\frac{x}{x+1}\right) e^x + c$ , where c is a constant of integration

$\frac{2e^x}{x+1} + c$ , where c is a constant of integration

✅ Correct Option: 1