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

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

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

CUET Mathematics 2022 23 Aug Shift 1

Calculus

Medium

$\log\left(\frac{e^x}{e^x - 1}\right) + C$

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

$\log\left(\frac{e^x - 1}{e^x}\right) + C$

$\log\left(\frac{e^x + 1}{e^x}\right) + C$

✅ Correct Option: 3