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# Determine whether each integral is convergent or divergent. Evaluate those that are convergent.$\displaystyle \int_2^\infty ye^{-3y}\ dy$

## convergent to $\frac{7}{9 e^{-6}}$

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Integration Techniques

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##### Catherine R.

Missouri State University

##### Heather Z.

Oregon State University

##### Michael J.

Idaho State University

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### Video Transcript

the problem is determined why the each integral is comported or that wouldn't the evaluated those that are convergent But this improvident girl a definition that Zico two's the limit A goes to infinity into girl too, eh? Why have Internet you three one b y on the week computed the definite integral first But it's definitely integral way you It's my third over The integration by parts This is Coach integral from two, eh? Why the one ninety one third? I have a speech to make you three. Why this's Iko too. Why make you one third? You two native three wives from to a minus into girl off to do a make you one third you Teo Night, you three. Why did you want? This's a conto. Why thank you. One third You two make your three. Why? From to today And the decoration? Uh ocean, Thank you. One third each. Nicky with three. Why thank you. One over nine into next you three. Why? This is from to to a on cloudy clubbing a And to this two functions this is equal to eh makes you wonder. Over three You two next three Hey, minus two times makes you fun. Over three into Makes your six. Andi, it's this line is minus one over nine into negative three, eh? Minus into make it two fix. So if they come to thanks a lot, because to infinity, this part goes to zero. And this part also goes to zero. The answer should Tio tio two thus one over nine times need to negative six or this is equal to silence. Over nine. You too. Negative. Six. This improper into grow is converted on the wall. You is seven over nine times into negative sits.

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Integration Techniques

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