Evaluate int ( 8(e^x -1))/(7x) dx as a power series.?
How do you evaluate this indefinite integral as a power series?
int ( 8(e^x -1))/(7x) dx
How do you evaluate this indefinite integral as a power series?
1 Answer
Explanation:
Rewrite the integral a bit:
Now, recall the power series expansion for
Thus, we rewrite as
We may multiply in the
Let's evaluate the series at
The
So, we have
Term-by-term integration yields