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# Determine whether each integral is convergent or divergent. Evaluate those that are convergent.$\displaystyle \int_0^5 \frac{1}{\sqrt[3]{5 - x}}\ dx$

## converges to $\frac{3}{2}(5)^{2 / 3}$

#### Topics

Integration Techniques

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##### Catherine R.

Missouri State University

##### Kristen K.

University of Michigan - Ann Arbor

##### Michael J.

Idaho State University

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### Video Transcript

the problem is determined why this integral is convergent or that worded. First we can use you substitution converted dysfunction toe a function that easier to integrate letyou is Nico to five minus x then do you? Is the count to negative the axe Then this integral is equal to one hour. You Teo one third and negative You From what X goes to zero you goes to five and while X goes to five you goes to zero We can rewrite this integral as into girl from zero to five You too Negative What others? You negative Auntie girl From five to zero, it's he goto integral from zero to five things when you goes to zero You two ninety one There it goes to infinity So this is improper Integral a definition. This is a You got your limit. He goes to zero integral off YouTube negative one third from sea two five You Dan, This is he called Tio Lim. He goes to zero and find it And I did a relative of the function. You too negative One third. This is Nico to one over. Negative one third. Juan, How's you? Too negative. One third plus one from he who fired then plant in five on Tito Dysfunction. This is equal to the limit. He goes Tio zero. This is one over to there. So this is three hour too Hands supplying five anti here. So this is love too. Three. Thirty two. Thirty. You there, Linus. You too. Do you think? And once he goes to zero, he too to third goes to there with the answer is three over two. I have Teo two. Thirty is power. So this into girl is converted and is a wily ways. Three over two times I have to with their

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#### Topics

Integration Techniques

##### Catherine R.

Missouri State University

##### Kristen K.

University of Michigan - Ann Arbor

##### Michael J.

Idaho State University

Lectures

Join Bootcamp