3. Review your integration skills (substitution method). To evaluate the following integral /tan(x) substitute: y = tanx and then write down new integral using only new variable_y. You do not need to evaluate the resulting integral, you only need to change the variables from x to y. In other words,_determine function f(y) such that: - dx = [f(v)dy where y = tan² x tan x Hint: the function f(y) is very simple!

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Topic Video
Question
3. Review your integration skills (substitution method). To evaluate the following integral
1
-dx
tan(x)
substitute:
y = tan?x and then write down new integral using only new variable _y.
You do not need to evaluate the resulting integral, you only need to change the variables
from x to y. In other words,_determine function f(y) such that:
1
- cx = | f (y)dy where y = tan?x
/tan x
Hint: the function f(y) is very simple!
Transcribed Image Text:3. Review your integration skills (substitution method). To evaluate the following integral 1 -dx tan(x) substitute: y = tan?x and then write down new integral using only new variable _y. You do not need to evaluate the resulting integral, you only need to change the variables from x to y. In other words,_determine function f(y) such that: 1 - cx = | f (y)dy where y = tan?x /tan x Hint: the function f(y) is very simple!
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