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Solved: Approximating definite integrals Use a Taylor
Chapter 8, Problem 33E(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 \(10^{-4}\).
\(\int_{-0.35}^{0.35} \cos 2 x^{2} d x\)
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 \(10^{-4}\).
\(\int_{-0.35}^{0.35} \cos 2 x^{2} d x\)
ANSWER:Solution 33EStep 1:We know the taylor series for is :Using this we get the taylor series for as followsU