Consider the following statements : (A) ∫^a_-af(x)dx=2∫^a_0f(x)dx if…

Consider the following statements :

(A) $\int\limits^{a}_{-a}f(x)dx=2\int\limits^{a}_{0}f(x)dx $ if $f(-x)=-f(x)$

(B) $\int\limits^{b}_{a}f(x)dx=\int\limits^{b}_{a}f(t)dt $

(C) $\int\limits^{a}_{0}f(x)dx=\int\limits^{a}_{0} f(x-a)dx$

(D) $\int\limits^{b}_{a}f(x)dx=\int\limits^{b}_{a}(a+b-x) dx $

Choose the correct answer from the options given below :