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Approximating definite integrals Use a Taylor
Chapter 8, Problem 37E(choose chapter or problem)
QUESTION:
Approximating definite integrals Use a Taylor series to approximate the following definite integrals. Retain as many terms as needed to ensure the error is less than \(10^{-4}\).
\(\int_{0}^{0.5} \frac{d x}{\sqrt{1+x^{6}}}\)
Questions & Answers
QUESTION:
Approximating definite integrals Use a Taylor series to approximate the following definite integrals. Retain as many terms as needed to ensure the error is less than \(10^{-4}\).
\(\int_{0}^{0.5} \frac{d x}{\sqrt{1+x^{6}}}\)
ANSWER:Solution 37E
Step 1:
In this problem we need to approximate the definite integral using Taylor series.
The Taylor series approximation of with center 0 is