Use integration by parts to show that e2x Se²x s sin(x) dx 0.2 = - 5 Hence determine the exact value of 2x e²x sin(x) dx Jo [2 sin(x) cos(x)] Use the standard McLaurin series for e* and sin(x) to determ the Mc Laurin expansion for e²* sin(x) up to the term in x³. Hence determine an approximate value for -0.2 - e2x sin(x) dx How does your approximation compare to the exact result yo found in a)?
Use integration by parts to show that e2x Se²x s sin(x) dx 0.2 = - 5 Hence determine the exact value of 2x e²x sin(x) dx Jo [2 sin(x) cos(x)] Use the standard McLaurin series for e* and sin(x) to determ the Mc Laurin expansion for e²* sin(x) up to the term in x³. Hence determine an approximate value for -0.2 - e2x sin(x) dx How does your approximation compare to the exact result yo found in a)?
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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Help with this Summer practice A-level question!
![10
a)
b)
Use integration by parts to show that
e2x
S
sin(x) dx = - [2 sin(x) cos(x)]
5
Hence determine the exact value of
-0.2
e2x sin(x) dx
Use the standard McLaurin series for e* and sin(x) to determine
the Mc Laurin expansion for e2x sin(x) up to the term in x³.
Hence determine an approximate value for
-0.2
-
e2x sin(x) dx
How does your approximation compare to the exact result you
found in a)?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F273fa61a-9ae9-4a0d-a9cb-91fa6d5ee14f%2Ff7d3b725-1a5f-4358-875c-e1991271176c%2Fjszq6kj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:10
a)
b)
Use integration by parts to show that
e2x
S
sin(x) dx = - [2 sin(x) cos(x)]
5
Hence determine the exact value of
-0.2
e2x sin(x) dx
Use the standard McLaurin series for e* and sin(x) to determine
the Mc Laurin expansion for e2x sin(x) up to the term in x³.
Hence determine an approximate value for
-0.2
-
e2x sin(x) dx
How does your approximation compare to the exact result you
found in a)?
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