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# Determine whether each integral is convergent or divergent. Evaluate those that are convergent.$\displaystyle \int_0^9 \frac{1}{\sqrt[3]{x - 1}}\ dx$

## $\frac{9}{2}$, Convergent

#### Topics

Integration Techniques

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##### Catherine R.

Missouri State University

##### Kristen K.

University of Michigan - Ann Arbor

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### Video Transcript

This is the road to integral from zero to one X minus one. Teo next you one third. Yeah, us into girl from one to nine. X minus one to make you one third. The axe. Their computer. The first empty girl. Now by the mission This vehicle to the limit A goes to one into girl from zero to a X minus one to make you one third. Yes, Look at it This definite Integral. This is the coat too. One over ninety one there us Juan times. Ex wants one too. Make you want Juan From zero to a, this's a control. Three over two hands X minus one, too. To over three from zero. Hey, when they goes to one a minus one too. The power off to over three goes to zero. What? This one goes to three over too. I'm Cyril. Minus makes you want to To our re This's equal Tio three over too. And now just because is a contaminated. We're already through things makes you want to three over thirds power. This is a good one. Similarly, we can compute the site and and to grow use the same. My third This is the culture? Yeah, just providing. The result is equal to six. So the answer should be negative. Three over, too. Last six. This is a call to nine over two this integral as comported, and it's a widely who is nine over too.

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#### Topics

Integration Techniques

##### Catherine R.

Missouri State University

##### Kristen K.

University of Michigan - Ann Arbor

Lectures

Join Bootcamp