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?
Answer
The correct answer is C: 2. 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).
- A.0
- B.1
- C.2✓ Correct
- D.4
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).
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