Find a power series centered at for the antiderivative and write the general term of…

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

Problem

Find a power series centered at

x=0

for the antiderivative

\displaystyle \int x e^{x^{2}}\,dx

and write the general term of the series plus the constant of integration.