Chapter 5, Problem 8RE

(a)

To determine

The value of the integral function ${\displaystyle \underset{0}{\overset{1}{\int }}\frac{d}{dx}\left(e^{\arctan x}\right)}dx$.

(b)

To determine

The value of the integral function $\frac{d}{dx}{\displaystyle \underset{0}{\overset{1}{\int }}\left(e^{\arctan x}\right)dx}$.

(c)

To determine

The value of the integral function $\frac{d}{dx}{\displaystyle \underset{0}{\overset{x}{\int }}\frac{d}{dx}\left(e^{\arctan t}\right)}dt$.