Let . Write the first three non-zero terms of the Maclaurin series for and give the…

MATHEMATICS · Subjective · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series

Problem

Let

F(x)=\displaystyle\int_{0}^{x}\arctan t\,dt

. Write the first three non-zero terms of the Maclaurin series for

F(x)

and give the interval of convergence of this series.