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Unit 10

10.4 Integral Test for Convergence

1 min read•june 8, 2020

peter-cao

Peter Cao


AP Calculus AB/BC ♾️

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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

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♾Unit 10: Infinite Sequences and Series (BC Only)
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