If ^3 dxsqrt(1+x^2) = a(1+x^2)^3/2+bsqrt(1+x^2)+c, where 'C' is an arbitrary constant, then the value of a and b are Option 1: a=1/3, b=1 Option 2: a=-1/3, b=1 Option 3: a=-1/3, b=-1 Option 4: a=1/3, b=-1

The answer is 'a=1/3, b=-1'. View full solution:

CUET Mathematics - If ^3 dxsqrt(1+x^2) = a(1+x^2)^3/2+bsqrt(1+x^2)+c, where 'C' is an arbitrary constant, then the value of a and b are | PYQs + Solutions

CUET Mathematics 2026 12th May Shift 2

Calculus

Medium

core

$a=\dfrac{1}{3}, b=1$

$a=-\dfrac{1}{3}, b=1$

$a=-\dfrac{1}{3}, b=-1$

$a=\dfrac{1}{3}, b=-1$

✅ Correct Option: 4