Suppose that $f$ is an odd function and $F\left(x\right)={\int }_a^x f\left(t\right)dt$.

Statement-1: $F$ is an even function

Statement-2: ${\int }_{-a}^a f\left(t\right)dt=0$

• A

  STATEMENT-1 is True, STATEMENT-2 is True;  STATEMENT-2 is a correct explanation for STATEMENT-1

• B

  STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is NOT a correct explanation for STATEMENT-1

• C

  STATEMENT-1 is True, STATEMENT-2 is False

• D

  STATEMENT-1 is False, STATEMENT-2 is True