Chapter 11 · Applications of Series
11.07
Differentiating and Integrating Maclaurin Series
Inside its radius, a power series can be differentiated and integrated term by term, which builds new series and sums old ones.
About 15 minutes
You'll learn to
- →Differentiate and integrate power series term by term
- →Derive the series for ln(1 + x) and arctan x
- →Sum series like Σ n/2ⁿ
- →Approximate integrals that have no antiderivative