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Suppose f is such that f(-x) = -f(x) for every real x and then is equal to
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a
10
b
5
c
0
d
-5
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Correct option is D
Given f(−x)=−f(x),∀ values of real x. We know that,∫−aa f(x)dx=0=∫−a0 f(x)dx+∫0a f(x)dx⇒∫−10 f(x)dx+∫01 f(x)dx=0⇒∫−10 f(x)dx=−5 ∵∫01 f(x)dx=5⇒ ∫−10 f(t)dt=−5Similar Questions
The value of is
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