Question

lf $f\left(x\right)$ is a periodic function with period T, then ${\int }_{a+2T}^{b+2T}f\left(x\right)dx$ is equal to

• A. 0
• B. ${\int }_{a+T}^{b}f\left(x\right)dx$
• C. ${\int }_a^{b+T}f\left(x\right)dx$
• D. ${\int }_a^{b}f\left(x\right)dx$

Answer 1

The correct option is D ${\int }_a^{b}f\left(x\right)dx$

f(x) is periodic
${\int }_{a+2T}^{b+2T}f\left(x\right)dx={\int }_a^{b}f\left(x\right)dx$