Chapter 5.7, Problem 408E

In the following exercises, solve for the antiderivative ${\displaystyle \int f}$ of f with C = 0, then use a calculator to graph f and the antiderivative over the given interval [a, b]. Identify a value of C such that adding C to the antiderivative recovers the definite integral $F\left(x\right)={\displaystyle {\int }_a^{x}f\left(t\right)dt}$ .

408. [T] ${\displaystyle \int \frac{9}{\sqrt{9+x^2}}dx}$ over [-6, 6]