Chown above is a graph of the functions Define the functions F₁ (t), F₂(t), G₁ (t) and G₂(t) by valuate each of the following improper integrals and limits. - [10 f(x) dz lim Fi(t) lim F(t) -[9² g(x) dx 2) lim G₁(t) lim G₂(t) 90.⁰00 y = f(x) = +1 and F₁(t)= r) - [1(a) dz, Fi(t)-f(a) de y=g(z) = 4arctan(2) G₁(t)= 9(2) dz G₂(t)- g(x) dz

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
-6
Shown above is a graph of the functions
a) f(x) de
b) lim Fi(t)
c) lim F₂(t)
d)
-00
-4
Define the functions F₁ (t), F₂(t), G₁(t) and G₂(t) by
g(x) dx
-2
Evaluate each of the following improper integrals and limits.
e) lim G₁(t)
f) lim G₂(t)
y
-4
2
Ø
-2
2
⠀
4
6
X
7²
y = f(x) = 22 +1
Fi(t) =
F₂(t) =
1-11
and
f(2) da,
f(a) da
y = g(x) =
G₁(t) =
G₂(t) =
4arctan(2)
T
g(x) a
+11
dx
9(x) da
Transcribed Image Text:-6 Shown above is a graph of the functions a) f(x) de b) lim Fi(t) c) lim F₂(t) d) -00 -4 Define the functions F₁ (t), F₂(t), G₁(t) and G₂(t) by g(x) dx -2 Evaluate each of the following improper integrals and limits. e) lim G₁(t) f) lim G₂(t) y -4 2 Ø -2 2 ⠀ 4 6 X 7² y = f(x) = 22 +1 Fi(t) = F₂(t) = 1-11 and f(2) da, f(a) da y = g(x) = G₁(t) = G₂(t) = 4arctan(2) T g(x) a +11 dx 9(x) da
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