Use a Taylor series to approximate the following definite integral. Retain as many terms as needed to ensure the error is less than 10 -3 0.44 [In 0 In (1+x²) dx 0.44 Sin (1+x²) dx = In 0 Tyne an integer or decimal ...

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter8: Further Techniques And Applications Of Integration
Section8.2: Integration By Parts
Problem 39E
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Use a Taylor series to approximate the following definite integral. Retain as many terms as needed to ensure the
error is less than 10
0.44
0
In (1+x²) dx
0.44
√ In (1+x²) dx =
0
(Type an integer or decimal rounded to three decimal places as needed.)
Transcribed Image Text:Use a Taylor series to approximate the following definite integral. Retain as many terms as needed to ensure the error is less than 10 0.44 0 In (1+x²) dx 0.44 √ In (1+x²) dx = 0 (Type an integer or decimal rounded to three decimal places as needed.)
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