dx Use the fact (1+x)x^; dx = 2 tan" (Vx)+C. You will need to think a little on this one©. 2. Determine if the doubly improper integral converges or diverges: that Ja(x+1)
dx Use the fact (1+x)x^; dx = 2 tan" (Vx)+C. You will need to think a little on this one©. 2. Determine if the doubly improper integral converges or diverges: that Ja(x+1)
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 2, please!!!!
Transcribed Image Text:Page
1.
of 2
ZOOM
+
-x+2
1. Integrate (*
dx , you will need a formula from algebra O. Use Partial Fractions.
x' -1
dx
2. Determine if the doubly improper integral converges or diverges:
Use the fact
Vx (x+1)'
that [-
1
-dx = 2 tan
n'(x)+C. You will need to think a little on this oneO.
Vx(x+1)
2
3. Find the area of the unbounded region between the x-axis and y =
for x26.
(x-4)
4. Does the integral converge or diverge? If it converges, what does it converge to?
In x
dx
5. Find the area of the region between the functions y = sec x and y = tan x from x = 0 to x=
6. Given the region below find the arc length of the curve.
9y² =x(x-3)*
> x-axis
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