Chapter 4, Problem 6T

To determine

To Fill: In the blanks Second Fundamental theorem of Calculus : Suppose $f$ is ………….on $\left[a,b\right]$ and , for all $x\in \left[a,b\right]$ , we define $F(x)={\displaystyle \underset{a}{\overset{x}{\int }}f(x)}dt$ . Then $F$ is …………on $\left[a,b\right]$ and ………….on $\left(a,b\right)$ , and $F$ is a ……..of $f$ , or in other words $\mathrm{..........}=\mathrm{..............}$