To calculate: The power series for
Answer to Problem 31E
The power series is
Explanation of Solution
Given Information:
The series is
The function is
Formula Used:
Power Rule:
Let the function be
The derivative is
Calculation:
The function is
Rewrite the function as:
Simplify the series.
Now, the function becomes,
Replace
Find the power series.
Integrate both sides with respect to
Substitute the limits.
Hence, the power series is where
Chapter 10 Solutions
Calculus: Graphical, Numerical, Algebraic: Solutions Manual
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