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The integral of f(x) from a to b is always equal to which of these?

AIntegral of f(a - b - x) from a to b
BIntegral of f(b - x) from a to b
CIntegral of f(a + b - x) from a to b
DIntegral of f(a + b + x) from a to b
Answer & Solution
Correct answer: C. Integral of f(a + b - x) from a to b
Putting x = a + b - t swaps the two limits, and the sign flip from dx restores them, so the integrals are equal.
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