Join Our Discord

Learn Moreย ย ๐Ÿ‘‡

caret down
caret up
discord-logo

Join our Discord

1,000s of Fiveable Community students are already finding study help, meeting new friends, and sharing tons of opportunities among other students around the world! Don't miss out!ย  ๐ŸŽ‰

group of students
group of students

โ™พ๏ธย ap calc

ย ย >ย ย 

โ™พย Unit 10

ย ย โ€ขย ย โฑ๏ธ1 min read

10.4 Integral Test for Convergence

Peter Cao

peter cao

โฑ๏ธ June 8, 2020

๐Ÿ“…

https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2FScreenshot%20(565).png?alt=media&token=b6755013-b0b6-43f5-982b-fe2ba5ad1cf0

What is the Integral Test?

The Integral Test is the next test that we will learn and it is related to improper integrals from Unit 6!

It says:

https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2FScreenshot%20(739).png?alt=media&token=5f3335bd-919c-4072-952b-72d103a4d2e6

We only will use the test part of the theorem but not the comparison part.

https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2FScreenshot%20(741).png?alt=media&token=8bfcb721-851c-44e8-b48d-d0ac0c506b34

https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2FScreenshot%20(743).png?alt=media&token=509149ea-9e8b-49aa-be7a-873dc43382d8

Problems

1. State the integral test.

Use the integral test to determine whether the following series converges or diverges.

https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2FScreenshot%20(745).png?alt=media&token=83ca2114-ff20-430f-9a16-7f6ea526af7d

A tent in the woods with a fire

Get your ap calc survival pack!

Download our ap calc survival pack and get access to every resource you need to get a 5.

ap calc study guides

๐Ÿ‘‘ย  Unit 1: Limits & Continuity

๐Ÿถย  Unit 8: Applications of Integration

โ™พย  Unit 10: Infinite Sequences and Series (BC Only)

continue learning

Slide 1 of 17
Fiveable

Join Our Discord

discord-logo

Fiveable Community students are already meeting new friends, starting study groups, and sharing tons of opportunities for other high schoolers. Soon the Fiveable Community will be on a totally new platform where you can share, save, and organize your learning links and lead study groups among other students!๐ŸŽ‰

*apยฎ and advanced placementยฎ are registered trademarks of the college board, which was not involved in the production of, and does not endorse, this product.

ยฉ fiveable 2021 | all rights reserved.

2550 north lake drive
suite 2
milwaukee, wi 53211