Mathematics · Definite Integrals
For a continuous function f(x), which of the following mathematical properties of definite integrals holds true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1∫ab f(x) dx = ∫ab f(a + b - x) dx✓
- 2∫-aa f(x) dx = 0 , if f is an even function
- 3∫-aa f(x) dx = 2 ∫0a f(x) dx , if f is an odd function
- 4∫02a f(x) dx = ∫0a f(x) dx - ∫0a f(2a + x) dx
Correct answer
∫ab f(x) dx = ∫ab f(a + b - x) dx
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