e^x( x+1/x^2)dx is equal to: (consider x=_e x) [C is an arbitrary constant] Option 1: e^x x + c Option 2: e^x1/x^2+c Option 3: e^x( x-1/x)+c Option 4: e^x( x+1/x)+c

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

CUET Mathematics - e^x( x+1/x^2)dx is equal to: (consider x=_e x) [C is an arbitrary constant] | PYQs + Solutions

CUET Mathematics 2026 30th May Shift 1

Calculus

Medium

common

$e^x\log x + c$

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

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

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

✅ Correct Option: 3