Chapter 1.7, Problem 410E

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 antidefivative ever the given interval [a, b]. Identify a value of C such that adding C to the antidelivative recovers the definite integral $F\left(x\right)={\displaystyle {\int }_a^{x}f\left(t\right)dt}$ .

410. [T] ${\displaystyle \int \frac{e^x}{1+e^{2x}}}dx$ over [−6, 6]