(a) Use the relationship 11 x2 dx = sin1 x + Cto find the first four nonzero terms in

Chapter 9, Problem 40

(choose chapter or problem)

(a) Use the relationship

\(\int \frac{1}{\sqrt{1-x^{2}}} d x=\sin ^{-1} x+C\)

to find the first four nonzero terms in the Maclaurin series for \(\sin ^{-1} x\).


(b) Express the series in sigma notation.

(c) What is the radius of convergence?

Equation  Transcription:

Text Transcription:

Integral 1/square root 1-x^2 dx= sin^-1 x + C

sin^-1 x

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