Mathematics · Integration
If f(a + b - x) = f(x), then the definite integral ∫ab x f(x) dx equals:
- 1((b - a) / 2) ∫ab f(x) dx
- 2((a + b) / (a - b)) ∫ab f(b + x) dx
- 3((a - b) / (a + b)) ∫ab f(b - x) dx
- 4((a + b) / 2) ∫ab f(x) dx✓
Correct answer
((a + b) / 2) ∫ab f(x) dx
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