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Approximating definite integrals Use a Taylor
Chapter 8, Problem 35E(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 \(10^{-4}\).
\(\int_{0}^{0.15} \frac{\sin x}{x} d x\)
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 \(10^{-4}\).
\(\int_{0}^{0.15} \frac{\sin x}{x} d x\)
ANSWER:Solution 35EStep 1:In this problem we need to approximate the definite integral dx using taylor series. We know that sin(x) = x - + -+........... By using