Let $f(x)$ be a continuous periodic function with period $T$. Let $I=\int_{a}^{a+T} f(x) d x$. Then

• A

  $\mathrm{I}$ is linear function in ' $\mathrm{a}$ '
• Correct answer
  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 ' $\mathrm{a}$ '

Hence, the correct answer is option: 'B'.