# Math Help - Power series expansion!!

1. ## Power series expansion!!

Given that the power series expansion of begins , find the first three terms in the power series expansion of .

2. Originally Posted by mr_motivator
Given that the power series expansion of begins , find the first three terms in the power series expansion of .
Hint: we can integrate power series term by term. what the problem asks for is $\int_0^t f(x)~dx = \int_0^t (1 - 3x + 9x^2 -+ \cdots )~dx$