Value of dx^3/5x * ^7/5x is (where c is an arbitrary constant) Option 1: 5/2^2/5x + c Option 2: 2/5^5/2x + c Option 3: 3/5^4/5x + c Option 4: 1/5^1/5x + c

The answer is '5/2^2/5x + c'. View full solution:

CUET Mathematics - Value of dx^3/5x * ^7/5x is (where c is an arbitrary constant) | PYQs + Solutions

CUET Mathematics 2026 15th May Shift 1

Calculus

Hard

core

$\dfrac{5}{2}\tan^{\frac{2}{5}}x + c$

$\dfrac{2}{5}\tan^{\frac{5}{2}}x + c$

$\dfrac{3}{5}\sin^{\frac{4}{5}}x + c$

$\dfrac{1}{5}\cos^{\frac{1}{5}}x + c$

✅ Correct Option: 1