1. Find a function f and a number a such that f(t) -dt = 2/x _for all x > 0 t2 6+ %3D
1. Find a function f and a number a such that f(t) -dt = 2/x _for all x > 0 t2 6+ %3D
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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How do I do number 1
![3. f(x)= Ji-1
1. Find a function f and a number a such that
f(t)
-dt = 2/ for all x > 0
t2
6+
Evaluate the following derivatives.
2. S(z) = ["
f(r)= J.
t³ Vt + 1dt
r1+z 13 +t - 1
dt
t2 + 1
Evaluate the following integrals. (You may use FTC now!)
4.
(4 – x)/rdx
5.
x(2x? + 5)70dx
6.
5x cos(x²)dx
/4
7.
-n/4
T (2³ + a® tan(x))dx
[Hint: Look at the interval which we are integrating over]
8. Find the area between the curves y = cos(x) and y = 1 – cos(x) on the interval [-T, 7].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F40a9514d-d7ca-4467-8320-3b6e9b54f257%2Fd7381d16-cf23-4a8b-9349-4bcfea26b2e7%2F2rip3pq_processed.png&w=3840&q=75)
Transcribed Image Text:3. f(x)= Ji-1
1. Find a function f and a number a such that
f(t)
-dt = 2/ for all x > 0
t2
6+
Evaluate the following derivatives.
2. S(z) = ["
f(r)= J.
t³ Vt + 1dt
r1+z 13 +t - 1
dt
t2 + 1
Evaluate the following integrals. (You may use FTC now!)
4.
(4 – x)/rdx
5.
x(2x? + 5)70dx
6.
5x cos(x²)dx
/4
7.
-n/4
T (2³ + a® tan(x))dx
[Hint: Look at the interval which we are integrating over]
8. Find the area between the curves y = cos(x) and y = 1 – cos(x) on the interval [-T, 7].
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