Evaluate the integral. e38 sin(48) de Step 1 We will begin by letting u = sin(48) and dv = e39 de. Then du = sin 46 130 4 cos(40) de and v = 3 3 Step 2 After integration by parts we have e39 sin(48) de = sin(40)e3 4/3 'sin(40) 4/3 e39 cos(40) de- 3 Step 3 We'll now apply the integration by parts procedure to the new integral / e39 cos(48) de, letting U = cos(48) and dv = e39 de. Then du = de and V =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Evaluate the integral.
e38 sin(40) de
Step 1
We will begin by letting u = sin(48) and dv = e39 de.
Then du = sin 40
4 cos(40)
1.e30
de and v =
3
Step 2
After integration by parts we have
sin( 40)e39
4/3
® sin(48)
| | e39 cos(48) de.
e39 sin(48) de
4/3
3
Step 3
We'll now apply the integration by parts procedure to the new integral / e39 cos(48) de, letting U = cos(48)
and dV = e36 de.
Then du =
de and V =
Transcribed Image Text:Evaluate the integral. e38 sin(40) de Step 1 We will begin by letting u = sin(48) and dv = e39 de. Then du = sin 40 4 cos(40) 1.e30 de and v = 3 Step 2 After integration by parts we have sin( 40)e39 4/3 ® sin(48) | | e39 cos(48) de. e39 sin(48) de 4/3 3 Step 3 We'll now apply the integration by parts procedure to the new integral / e39 cos(48) de, letting U = cos(48) and dV = e36 de. Then du = de and V =
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