The modified Bessel function I,6x) has the integral representation /2 2 1(x) = cosh(x sin 0 )d0. Use the composite trapezoidal and Simpson's rules with step length h = m/16 to estimate I,(3.5), and compare your result with I,(3.5) = 7.37820, which is correct to five decimal places.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.6: The Matrix Of A Linear Transformation
Problem 30EQ
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The modified Bessel function I,6x) has the integral representation
2
L(x) = =
cosh(x sin 0 )d0.
Use the composite trapezoidal and Simpson's rules with step length
h= T/16 to estimate I,(3.5), and compare your result
with I,(3.5) = 7.37820, which is correct to five decimal
places.
Transcribed Image Text:The modified Bessel function I,6x) has the integral representation 2 L(x) = = cosh(x sin 0 )d0. Use the composite trapezoidal and Simpson's rules with step length h= T/16 to estimate I,(3.5), and compare your result with I,(3.5) = 7.37820, which is correct to five decimal places.
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