Sarkari RiseLogin
NDA 2026 · PYQ · Definite Integrals / Properties · medium

Let f(x) = sinx and g(x) - f(x) = f(4-x). What is ∫₀⁴ f(4-x)/g(4-x) dx equal to?

  1. A.0
  2. B.1
  3. C.2✓ Correct
  4. D.4

Explanation

By the property ∫₀^a F(x)dx = ∫₀^a F(a-x)dx, ∫₀⁴ f(4-x)/g(4-x) dx = ∫₀⁴ f(x)/g(x) dx = 2 (from Q93).
💡 Practice unlimited NDA PYQs + AI-tracked progress on each topic. Sign up free →

More Definite Integrals / Properties questions

Want more NDA practice?

Free daily 10-Q quiz · adaptive mocks · 4,000+ verified PYQs · AI doubt solver in Hindi + English

Sign up freeMore Definite Integrals / Properties practice