x^3/x+2dx is equal to: (where C is an arbitrary constant and _e x = x) Option 1: x^3/3 - x^2 + 4x - 8|x+2| + c Option 2: x^3/3 + 8|x+2| + c Option 3: x^3 + x^2 - 4x + |x+2| + c Option 4: x^3 + 4x + |x+2| + c

The answer is 'x^3/3 - x^2 + 4x - 8|x+2| + c'. View full solution:

CUET Mathematics - x^3/x+2dx is equal to: (where C is an arbitrary constant and _e x = x) | PYQs + Solutions

CUET Mathematics 2026 31st May Shift 2

Calculus

Medium

common

$\dfrac{x^3}{3} - x^2 + 4x - 8\log|x+2| + c$

$\dfrac{x^3}{3} + 8\log|x+2| + c$

$x^3 + x^2 - 4x + \log|x+2| + c$

$x^3 + 4x + \log|x+2| + c$

✅ Correct Option: 1