If ∫₀¹ f(x) dx = 5, then ∫₀¹ f(1 − x) dx equals:
If ∫₀¹ f(x) dx = 5, then ∫₀¹ f(1 − x) dx equals:
- A. −5
- B. 0
- C. 5
- D. 10
Answer: C) 5
Explanation: By substitution u = 1 − x, du = −dx. Limits: x=0 → u=1; x=1 → u=0. ∫₀¹ f(1−x) dx = −∫₁⁰ f(u) du = ∫₀¹ f(u) du = 5.
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