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UP TGT Mathematics Integration Test Series - Part 1

If f(2a - x) = -f(x), then ∫_0^{2a} f(x) dx is equal to:

Type: MCQ • Marks: 1
If f(2a - x) = -f(x), then ∫_0^{2a} f(x) dx is equal to:
Options
A. 0
B. 2 ∫_0^a f(x) dx
C. ∫_0^a f(x) dx
D. a
Explanation
If f(2a-x) = -f(x), the integral from 0 to 2a evaluates to zero.
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