dx(a^2-x^2)^3/2 is equal to: (where C is an arbitrary constant) Option 1: 1/a^2sqrt(a^2-x^2) + C Option 2: xa^2sqrt(a^2-x^2) + C Option 3: xa^2sqrt(a^2+x^2) + C Option 4: 2/5a^2(a^2-x^2)^5/2 + C

The answer is 'xa^2sqrt(a^2-x^2) + C'. View full solution:

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

CUET Mathematics 2026 19th May Shift 1

Calculus

Medium

common

$\frac{1}{a^2}\sqrt{a^2-x^2} + C$

$\frac{x}{a^2\sqrt{a^2-x^2}} + C$

$\frac{x}{a^2\sqrt{a^2+x^2}} + C$

$\frac{2}{5a^2}(a^2-x^2)^{5/2} + C$

✅ Correct Option: 2