Docsity
Docsity
Prepare for your exams
Prepare for your exams

Study with the several resources on Docsity

Earn points to download
Earn points to download

Earn points by helping other students or get them with a premium plan

Guidelines and tips
Guidelines and tips
Sell on Docsity
Sell on Docsity
Docsity AI
Docsity AI
Log inSign up

Prepare for your exams

Study with the several resources on Docsity

Find documents

Prepare for your exams with the study notes shared by other students like you on Docsity

Search for your university

Find the specific documents for your university's exams

Docsity AINEW

Summarize your documents, ask them questions, convert them into quizzes and concept maps

Explore questions

Clear up your doubts by reading the answers to questions asked by your fellow students

Earn points to download

Earn points by helping other students or get them with a premium plan

Share documents
download point icon20 Points

For each uploaded document

Answer questions
download point icon5 Points

For each given answer (max 1 per day)

All the ways to get free points
Get points immediately

Choose a premium plan with all the points you need

Study Opportunities

Choose your next study program

Get in touch with the best universities in the world. Search through thousands of universities and official partners

Community

Ask the community

Ask the community for help and clear up your study doubts

Free resources

Our save-the-student-ebooks!

Download our free guides on studying techniques, anxiety management strategies, and thesis advice from Docsity tutors

Improper Integrals in Calculus II, Assignments of Calculus

Portland Community CollegeCalculus

Problems related to improper integrals in calculus ii, including completing a table of approximate values for a given function, proving the convergence of an improper integral using the comparison theorem, and illustrating the convergence through a graph. The assignment is worth 35 marks in total, with 30 marks for technical correctness and 5 marks for presentation.

Typology: Assignments

Pre 2010

Uploaded on 08/16/2009

koofers-user-dzo
koofers-user-dzo 🇺🇸

1

(1)

8 documents

1 / 1

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
m252qz12_092.doc
1 of 1
MTH_252 Calculus II
m252qz12 Improper Integrals
30 Technical Marks, 5 Presentation Marks
a) Given
2
2
sin ( )
()
x
gx x
=, complete Table I with approximate values for
1
() ( )
t
Ft gxdx=∫ with the
specified values for t.
Table I: Approximate Values for
1
() ( )
t
Ft gxdx=∫
t 2 5 10 100 10,000
F(t)
b) Use the Comparison Theorem with f(x) = 1/x2 to show that the improper integral
1
()gxdx
∞
∫ is
convergent.
c) Illustrate part (b) by graphing f and g on the same screen for 1 < x < 10. Using this graph
and your most eloquent prose, explain why
1
()gxdx
∞
∫ is convergent.

Partial preview of the text

Download Improper Integrals in Calculus II and more Assignments Calculus in PDF only on Docsity!

m252qz12_092.doc

1 of 1

MTH_252 Calculus II m252qz12 Improper Integrals 30 Technical Marks, 5 Presentation Marks

a) Given

2 g x ( ) = sin ( ) x 2 x , complete Table I with approximate values for ( ) 1 ( )

t

F t = ∫ g x dx with the

specified values for t. Table I: Approximate Values for 1

t

F t = ∫ g x dx

t 2 5 10 100 10, F ( t )

b) Use the Comparison Theorem with f ( x ) = 1/ x^2 to show that the improper integral 1 g x dx ( )

∞

∫ is

convergent. c) Illustrate part (b) by graphing f and g on the same screen for 1 < x < 10. Using this graph and your most eloquent prose, explain why 1 g x dx ( )

∞

∫ is convergent.