Assume that sin(x) equals its Maclaurin series for all x. Use the Maclaurin series for sin (8x²) to evaluate the integral 0.65 [.5 sin (8x²) dx. Your answer will be an infinite series. Use the first two terms to estimate its value.
Assume that sin(x) equals its Maclaurin series for all x. Use the Maclaurin series for sin (8x²) to evaluate the integral 0.65 [.5 sin (8x²) dx. Your answer will be an infinite series. Use the first two terms to estimate its value.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Assume that sin(x) equals its Maclaurin series for
all x.
Use the Maclaurin series for sin (8x²) to evaluate
the integral
0.65
[065 sin (8x²) dx.
Your answer will be an infinite series. Use the first
two terms to estimate its value.
Enter a mathematical expression [more..]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa9ed15ea-b247-4d4a-84f5-d7f808a88737%2Ffc32f20f-6b32-4b3c-b3e1-a96471afdb1e%2Fz4pnkpn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Assume that sin(x) equals its Maclaurin series for
all x.
Use the Maclaurin series for sin (8x²) to evaluate
the integral
0.65
[065 sin (8x²) dx.
Your answer will be an infinite series. Use the first
two terms to estimate its value.
Enter a mathematical expression [more..]
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