Use the reduction formula twice to find the value of this integral: integral tan^(5)xdx
Use the reduction formula twice to find the value of this integral: integral tan^(5)xdx
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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Question
a)
Use the reduction formula twice to find the value of this integral: integral tan^(5)xdx
Reduction formula:integral tan^(m)xdx=(tan^(m-1)x)/m-1 - integral tan^(m-2)xdx.
b)
Use the Product to Sum Identities and
Sketch the region first and estimate its’ size before integrating in each case.
1) f(x)=4sin(3x)cosx, I: [0, pi/3]
2) f(x)= 6cos(2x)cosx, I: [0, pi/4]
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