Next, find F 16 1 F 16 sin 4 16 %3D 1 4/2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
icon
Concept explainers
Topic Video
Question

For the part circled in pencil, how did we get this? 

Student: Jessica Clements
Date: 05/04/21
Course: MTH-14
n/16
cos 4x dx
'Click to view the table of general integration formulas.
F(x)dx = F(b)-F(a)
a
Let F(x) = f(x)dx = F(b) - F(a). To evaluate the integral, first find F(x).
%3D
F(x) =- sin 4x+ C
4.
Because of the subtraction, a constant in F(x) will not affect the value of E(b)- F(a). Thus, there is no need to include the
constant C.
1/16
cos 4x dx =F
16
- F(0)
%3D
T/16
1
sin 4x
%3D
Next, find F
16
금)
1
%3D
F
16
sin 4
4.
16
2
1
4/2
Find F(0).
1
sin 4(0)
F(0)
%D
4
= 0
Finally, evaluate the integral.
%3D
Transcribed Image Text:Student: Jessica Clements Date: 05/04/21 Course: MTH-14 n/16 cos 4x dx 'Click to view the table of general integration formulas. F(x)dx = F(b)-F(a) a Let F(x) = f(x)dx = F(b) - F(a). To evaluate the integral, first find F(x). %3D F(x) =- sin 4x+ C 4. Because of the subtraction, a constant in F(x) will not affect the value of E(b)- F(a). Thus, there is no need to include the constant C. 1/16 cos 4x dx =F 16 - F(0) %3D T/16 1 sin 4x %3D Next, find F 16 금) 1 %3D F 16 sin 4 4. 16 2 1 4/2 Find F(0). 1 sin 4(0) F(0) %D 4 = 0 Finally, evaluate the integral. %3D
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Angles, Arcs, and Chords and Tangents
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,