Question

Let $f(x)$ be a continuous periodic function with period $T$. Let $I=\int_{a}^{a+T} f(x) d x$. Then
(A) I is linear function in 'a'
(B) I does not depend on 'a'
(C) $0<\mathrm{I}<\mathrm{a}^{2}+1$ where $\mathrm{I}$ depends on ' $\mathrm{a}$ '
(D) $\mathrm{I}$ is quadratic function in 'a'

Answer 1

Ans: (B)
Hint : $I=\int_{a}^{a+T} f(x) d x=\int_{0}^{T} f(x) d x$
I does not depend on a

Answer 2

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Answer 3

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