integrate-each-of-the-given-functions-int-fracxx-22-d-x-2

Question

Integrate each of the given functions.
$$\int \frac{x}{(x-2)^{2}} d x$$

Vikash Ranjan · Accepted Answer

in the problem we have been given integration ex bond x minus two whole squad day X. So here this is written us ex upon x minus two whole square which is equal to upon x minus two plus be upon it&#x27;s minus two police squad. Nowadays X equal A into x minus two plus B. Or to equal B so equals one. This integration can written as integral one upon x minus two plus two upon x minus two whole square and the X. This is equal to Ellen mod x minus two plus twice. Integration during the power minus two, dating as ex ministries as MT So D X become DT. Hence this is the problem. Therefore, it is a landmark x minus two plus two into till the power minus one upon minus one. Let&#x27;s see. Or it is equal to Ellen more x minus two minus two upon x minus two. Plessy So we have this the answer to the problem.

Amy Jiang · Answer

Okay, So looking at are integral. We see that we have a heck of a cold challenges on, and they have a role. Coast begins what we know. That the derivative of hyperbolic attentions what are people to, um, negative co seeking squared of X. And not that we have coast. You could square to backs here, So we&#x27;ll take you to be able to Khyber girl Coach engines of X. And I will do you that you go to negative happy little co ck in squared of ex DEA. Now it&#x27;s multiply both sides by negative one so that we have this portion right here. So this is the O negative. Do you? So the integral of you squared Negative, do you? And that&#x27;s equal to negative. You cube over three plus c to negative. You you is hyperbolic. Oh, attendance que kovacs over three and plus c. Okay, so this is execution

Amy Jiang · Answer

Okay, So it&#x27;s notice here for in ago that we have hyperbolic hotel agents. Aunt Hyperbolic. Does he get so notice? Or recall that the derivative of hyperbolic contingents that&#x27;s equal to negative coast chickens. Spirit of X. So I don&#x27;t leave the right Or why don&#x27;t we use you? Stop. We cannot you be equal to the following and then do you is equal to negative? Have got a hybrid ball coast against. We can bring that to the other side to negative. Yes, you can squared X for this portion right here. This is equal to do you and then we have intentions squared of you are acceptable to use word so he gets the integral of you squared. Do you taking the interval? We get YouTube over three. But see, when we can get you in terms of X, that is hyperbolic. Coach engines cubed, abets over three busting

Ruirui Liu · Answer

So that&#x27;s what This place, any quiche acts. Thank you. Yes, we use tweeting by heart. You know, we treat psych that&#x27;s here, and then you leave us. He&#x27;s like Askar access now that the very people Tanen likes it. 10 and yes, and this also usually Kano&#x27;s coast.

Vikash Ranjan · Answer

fine. You know, it&#x27;s squatting this because in six weeks it&#x27;s because my ass wanted to dance this. Now we have solved the dynamics San asked about sex tonight Cost SPD on it becomes my dicks as needed. So my d o d This is what minus so no, it comes. It&#x27;s minus minus off t.

Shreya Kelly · Answer

for this problem. You&#x27;ll also use integration by parts she. So we know the Formula One function goes outside. One was in sight, minus function. That&#x27;s outside. We take instead of radio pig named Bigelow Bill inside function. Apply the whole integral. Okay, this problem. Let&#x27;s take Ellen Square X outside. Let&#x27;s keep expert insight. No, Protect the data radio felon Square eggs, that is do Ln x on their radar clinics is one over X and your love X squared is excuse over three. So Ellen square eggs and liberal affects script is excuse over three. Okay, here doing three or constant. So let&#x27;s bring the whole with three outside because they&#x27;re constants. Things that go inside our this x cancels with this product makes so that is excrete Olympics. So we should all play integration by parts again. So that&#x27;s X Q and in scratch ICS over three the first time. But the second, um, it is radio again. If you take that Ellen X outside for integration by box, keep X squared inside. Their way to a fellow nix is one more drinks. Anything on the big screen iss excuse Over three All indeed grow Yes. Gives X Q and in scrapings three blindness. Third in bigger loving script is X Cuba over three. I mean this That&#x27;s one cancels on par optics where so one part of excuse. So explore our three in pickle. One card is constant, so it&#x27;s outside. Integral of X. Squared is again excuse over three. That&#x27;s it. We don&#x27;t have anyone integrations, so they should be the answer. X Cube. Ellen&#x27;s credits over three minus. They stay here and three here. Water in the denominator. So pretty square is nine. X Q. And the Knicks Thank you. NATO becomes false to do. There was only two in the new Marie. Two important denominator. We have three times, three times three, which is training seven. And here we have Excuse with Plessy. This should be a final answer. Thank you for

Problem

Integrate each of the given functions. $$\int \fr…

Problem 6 Easy Difficulty

Integrate each of the given functions.
$$\int \frac{x}{(x-2)^{2}} d x$$

Answer

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Allyn J. Washington, Richard S. EvansBasic Technical Mathematics with Calculus

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Basic Technical Mathematics with Calculus