sqrt(1 - 49x^2) dx is equal to Option 1: x/2(sqrt(1 - 49x^2)) + 1/98^-17x + C Option 2: 7x/2sqrt(1 + 49x^2) + 1/49^-1x + C Option 3: x/2sqrt(1 + 1/7x^2) - 1/49^-17x + C Option 4: x/2sqrt(1 - 49x^2) + 1/14^-17x + C

The answer is 'x/2sqrt(1 - 49x^2) + 1/14^-17x + C'. View full solution:

CUET Mathematics - sqrt(1 - 49x^2) dx is equal to | PYQs + Solutions

CUET Mathematics 2022 30 Aug Shift 1

Calculus

Medium

$\frac{x}{2}\left(\sqrt{1 - 49x^2}\right) + \frac{1}{98}\sin^{-1}7x + C$

$\frac{7x}{2}\sqrt{1 + 49x^2} + \frac{1}{49}\sin^{-1}x + C$

$\frac{x}{2}\sqrt{1 + \frac{1}{7x^2}} - \frac{1}{49}\sin^{-1}7x + C$

$\frac{x}{2}\sqrt{1 - 49x^2} + \frac{1}{14}\sin^{-1}7x + C$

✅ Correct Option: 4