1 5. S √²+1 dæ dx /4x+1 integration by parts O neither substitution
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
Total of 2 questions( first one is provided below and includes a screenshot and second one is only on the second screenshot.)
1. Choose which method to use.
For each of the following integrals, indicate whether integration by substitution or integration by parts is more appropriate, or if neither method is appropriate. Do not evaluate the integrals.
(Multiple choice question screenshot provided)
Transcribed Image Text:1
5. S √²+1 dx
/4x+1
integration by parts
O neither
substitution
![6. For an unknown function ƒ(x), the following information is known.
f is continuous on [3, 6];
●
f is either always increasing or always decreasing on [3, 6];
●
f has the same concavity throughout the interval [3, 6];
• As approximations to ſå f(x) dx, L₁ = 7.23, R4 = 6.75, and M₁ = 7.05.
a. Is f increasing or decreasing on [3, 6]? What data tells you?
b. Is f concave up or concave down on [3, 6]? Why?
c. Determine the best possible estimate you can for ſå ƒ(x) dx, based on the
given information.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fce3589f0-5608-4fb5-a11c-ce1805f2c8e6%2Fff39f85f-bdd8-49c7-bdc1-1054a0f5817e%2Fvzod5eo_processed.png&w=3840&q=75)
Transcribed Image Text:6. For an unknown function ƒ(x), the following information is known.
f is continuous on [3, 6];
●
f is either always increasing or always decreasing on [3, 6];
●
f has the same concavity throughout the interval [3, 6];
• As approximations to ſå f(x) dx, L₁ = 7.23, R4 = 6.75, and M₁ = 7.05.
a. Is f increasing or decreasing on [3, 6]? What data tells you?
b. Is f concave up or concave down on [3, 6]? Why?
c. Determine the best possible estimate you can for ſå ƒ(x) dx, based on the
given information.
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