5

3Etails Hot Llera suttac0 4io2 lnerconanaht cliculr cant ' Qerieratod (uyolyIn? Uc ngion bourdco4radbouZol (ncing GiaunntnrallowcdIntegrationond inqiudingintog...

Question

3Etails Hot Llera suttac0 4io2 lnerconanaht cliculr cant ' Qerieratod (uyolyIn? Uc ngion bourdco4radbouZol (ncing GiaunntnrallowcdIntegrationond inqiudingintogralldgHjotk Fux Incluaa Kcpe nccosm0ny

3Etails Hot Llera suttac0 4io2 lnercona naht cliculr cant ' Qerieratod (uyolyIn? Uc ngion bourdco 4ra dbou Zol (ncing Giaunntnr allowcd Integration ond inqiuding intogralldg Hjotk Fux Incluaa Kcpe nccosm0ny



Answers

$\int \frac{x^{3} d x}{x^{8}+4 x^{4}+13}$ is (a) $\frac{1}{6} \tan ^{-1}\left(\frac{x^{4}+2}{3}\right)+C$ (c) $\frac{1}{2} \tan ^{-1}\left(\frac{x^{4}+2}{3}\right)+C$

Section seven to problem number 25. So we're dealing with intervals here that involve integration by parts, Which means if I can recognize an integral in the form of two functions you and Devi, then integration by parts tells us this is UV minus the integral VD you with the hopes that this VD you and a girl is easier to work with. Now, in some cases like this one, we're gonna have to do this multiple times to get to an answer. Okay, so in this case, I'm gonna let you equals e to the minus X. Then d'you is going to be minus E to the minus X. The X TV is going to be a sign of four x the X you integrate the sine function and you get minus co sign so V is going to be minus 1/4 co sign for X. So this original problem e to the minus x sign of forex. The X is equal to UV, so minus 14 e to the minus X ko sai four x minus the integral of VT you so that's minus 1/4. Okay, you to the minus x co signed for X, the X now, what I have to do is I have to repeat this process. I've got this second integral here you is going to be e to the minus x d. You is going to be minus E to the minus X dx Devi is going to be the co sign of four x DX. You integrate the co sign function and you obtain the sine function. So just copying all of this down the integral I e to the minus x sign of for X DX is equal to minus 1/4 you to the minus Sex co signed for X minus 1/4 And now I just use my integration by parts for you with a second version So one you ve is going to be, what 1/4 you to the minus X signed for X and then minus the integral of e d u. So that's going plus 1/4 in a grove e to the minus x sign of for X dx. Now let's expand this coefficient of 1/4 and see what we have. So I've got the integral e to the minus X sign of for X DX is equal to minus 1/4 E to the minus x co signed for X And then I've got minus 1/16 you to the minus X signed for X and then minus 1/16 Integral eat of the minus X sign for X DX. Now what I notice here is I have this same integral on both sides of the equation. So I'm going to add 1/16 you to the minus x sign for X TX to both sides of the equation. So just a basic property of solving equations. So on the left side of equation, think of this a 16/16. When you add one, you're going tohave 17 16th. So this tells me that 17 16th e to the minus X sign for X DX is equal to minus 14 e to the minus x co sign for X minus 1/16 either the minus sex sign for X plus a constant of integration. And so now I just need to multiply this entire equation by 16/17. When I do that, I would get e to the minus x sign of for X DX is equal to And so now you have 16 over 17 minus 1/4 e to the minus. X goes on for X minus 1/16 e to the minus. Sex signed for X It was a constant and so here I end up with the integral E to the minus. X sign of for X DX is equal to minus four seventeenth's he to the minus x co sign for X, and then you have minus 1/17 you to the minus sex sign for X plus, a constant of integration. So that is my answer. The only thing you can do to simplify you can factor. You could factor out a negative 1/17 to the minus X, and that would leave you with four co sign for X plus sign of four X plus constant of integration, so either of these would be good final answers for you.

Yeah, but you know this integrity to solve this now then people we have so what's all this year we start with this really adhering people is about two weeks. We have one plus tens, directs plus cool the next Levina PX so equals here the park two weeks one plus 10 practice experience so to 10 x plus second spirits. Yes. As we have in now I want to use their let's say uh period of our ex uh we have integral affects plus afghan checks the accept equal with the bar X. F. X plus C. Okay, we have to wait So what we can do this substitution here two x. equals speak. So we get now but we we get into the bar T. Then we have do collectively have so it is coming out to be uh we have here Dx is A D. P over to we get here D. D. Over to well where do we get here can access do you ever do balls are big over two so we get 1/2 2nd spare. Mr Get Yeah. So now it's the form here we have here the bar X. Ethics, here's what I said, we have the effect after sex we have and then be it 6 30/2 times one over. Too heavy and it's going to be in the bar X. Fx plus see getting you know, you know the hold is coming after weeks it was a party. Ft Afghanistan be over to let's see so we are now integral is coming on to me Here the Barbie have these too excited about two weeks 10 X plus enough. It's about two weeks 10 X. That is option B over here option. Thank you.

For this exercise ever used a method and introduced in exercise 37. If you don't know this method, please look at that video first so we can write this term as X squared times co signing tax, the derivative of X squared as two hours and the the derivative about to access to. And it's derogative zero & zero et cetera. The anti derivative of code syntax syntax and it's anti derivative is miners cause I eggs and it's and it's hereditary house minor sci. And it's And did you refer to as co signing acts? And now we can connect them by snapping lies. And the science positive, negative positive negative enhance. Yes. And your girl, He calls X squared times Sine axe. This is the first test net in life Plus two Arts Co Sign Arts. This is the second leading and minors. Two times science. This is the 1st 99. And for the other terms It zeroes since zero times any number Rico zero. And this is the answer of this integral. And we should add a constancy

E equal the most complicated part that follows a coat, a basic integration of girls. We're gonna let that equal coast Androvax that use just the rest, which is X squared.


Similar Solved Questions

5 answers
SMornt tn dclin codal ppaui AMluncm rei 5X0 $ MD-032 Fuad u . utueu (04t Alekuulmulucira Uuky [40au4 nulc hedcduad Julot ContAmn Faciln MreAnmmuti uktteEr] GdodutnoWeletHtuhoducuHalayagetniacecarean narenMwn 140 apluunct artFroxtkeds 0Mmlku Muu ualukueedw I0 WFEuices @ $ Motnun MuuaEe5 4yiecThhulet4
SMornt tn dclin codal ppaui AMluncm rei 5X0 $ MD-032 Fuad u . utueu (04t Alekuulmulucira Uuky [40au4 nulc hedcduad Julot ContAmn Faciln MreAnmmuti uktte Er] Gdodutno Welet Htu hoducu Halaya get niacecarean naren Mwn 140 apluunct art Froxtkeds 0 Mmlku Muu ualukueedw I0 WFEuices @ $ Motnun MuuaEe5 4...
5 answers
Observation Of a waiting line at cmergency hospital indicates the proby ability that IlCW arival will CIILCCGCCY €SC is p = 5/6. Find Lhe probability that the 5th paticnt is the first CICCgency Case. ASSue that conditions of ariving patients represents independent events_
Observation Of a waiting line at cmergency hospital indicates the proby ability that IlCW arival will CIILCCGCCY €SC is p = 5/6. Find Lhe probability that the 5th paticnt is the first CICCgency Case. ASSue that conditions of ariving patients represents independent events_...
5 answers
1 1 0 ] 1 3 J | 1 J HH 1 1 Ji 1 ] 2 1 8 1 1 Hu 2 188 7 2 8 JW U 1
1 1 0 ] 1 3 J | 1 J HH 1 1 Ji 1 ] 2 1 8 1 1 Hu 2 188 7 2 8 JW U 1...
5 answers
ZOOM 1 " | +0Thc Dcfiite lntcgral" and rcspond thc following qucstionsRczd the scctioaEvaluzteAx-x over the interval 0 <x <4.Find the gre1 of thc rcgion that lies under thc curve
ZOOM 1 " | + 0 Thc Dcfiite lntcgral" and rcspond thc following qucstions Rczd the scctioa Evaluzte Ax-x over the interval 0 <x <4. Find the gre1 of thc rcgion that lies under thc curve...
5 answers
More Examples 2AI(s) 6hCI(g) 2AICI,(s) 3Hz(g) Deceideneahe amount T:y) ofalumingm Shooride that Can be formed by the 4.06 grams of Al and 12.76 reaction of How many grams of HCI: grams of excess reactant remain? CzHsOz + If CHzOH 7 11.20 grams of CgHsO3 1 Hzo CH;C OH react with 1.50 gOlatesf GHao3 and the student actuaily pecees vie d 9rms 0f € Hroge determalle percent yield of the reaction: the
More Examples 2AI(s) 6hCI(g) 2AICI,(s) 3Hz(g) Deceideneahe amount T:y) ofalumingm Shooride that Can be formed by the 4.06 grams of Al and 12.76 reaction of How many grams of HCI: grams of excess reactant remain? CzHsOz + If CHzOH 7 11.20 grams of CgHsO3 1 Hzo CH;C OH react with 1.50 gOlatesf GHao3 a...
5 answers
Chapter 6, Section 6.5, Question 001 Find the area of the surface generated by revolving the given curve about the xX-axis_J=3,0 <+ <2Enter the exact answer:Edlt
Chapter 6, Section 6.5, Question 001 Find the area of the surface generated by revolving the given curve about the xX-axis_ J=3,0 <+ <2 Enter the exact answer: Edlt...
5 answers
LAFLO 5331Aydyn Shakirov: AltcmptJCr(s)L.UuWhich reaction is spontaneous (product favored) (6 pts)Snzaq) Cu(s) Sn(s) Culaq) Alfaq) + 3 Ag(s) Al() Agtaq) Sn(s) + 2 Agiaq) Sn?aq) Ag(s) 3 Alfaq) Fe?aq) 2+ Fe(s) Al()Question 6 (3 points)SavedVoltmeterFL(4q)
LAFLO 5331 Aydyn Shakirov: Altcmpt JC r(s) L.Uu Which reaction is spontaneous (product favored) (6 pts) Snzaq) Cu(s) Sn(s) Culaq) Alfaq) + 3 Ag(s) Al() Agtaq) Sn(s) + 2 Agiaq) Sn?aq) Ag(s) 3 Alfaq) Fe?aq) 2+ Fe(s) Al() Question 6 (3 points) Saved Voltmeter FL(4q)...
1 answers
A quantity of $4.35 \mathrm{~g}$ of a sample of pyrolusite ore, when heated with conc. HCl, gave chlorine. The chlorine, when passed through potassium iodide solution, liberated $6.35 \mathrm{~g}$ of iodine. The percentage of pure $\mathrm{MnO}_{2}$ in the pyrolusite ore is $(\mathrm{Mn}=55, \mathrm{I}=127)$ (a) 40 (b) 50 (c) 60 (d) 70
A quantity of $4.35 \mathrm{~g}$ of a sample of pyrolusite ore, when heated with conc. HCl, gave chlorine. The chlorine, when passed through potassium iodide solution, liberated $6.35 \mathrm{~g}$ of iodine. The percentage of pure $\mathrm{MnO}_{2}$ in the pyrolusite ore is $(\mathrm{Mn}=55, \mathrm...
5 answers
46 (indow (devwakv Voss | t$ 0.36 1 radius_ MR Watez Qiessur ; S8xk ?a aC @GJabsttetic Qrss Jrr {nsde iS kol P4Hoc mckh crrs Shou.Q VcSsc ( we (/ excv+ ~bhue (c wuMdus m Qlace ?
46 (indow (devwakv Voss | t$ 0.36 1 radius_ MR Watez Qiessur ; S8xk ?a aC @GJabsttetic Qrss Jrr {nsde iS kol P4 Hoc mckh crrs Shou.Q VcSsc ( we (/ excv+ ~bhue (c wuMdus m Qlace ?...
5 answers
QuestIon 10 Which of the following molecules Is/are aromatlc?SA Aand BB. A, B, and €CDonlyD. C onlyEAll of themF None of them
QuestIon 10 Which of the following molecules Is/are aromatlc? S A Aand B B. A, B, and € CDonly D. C only EAll of them F None of them...
1 answers
Sketch a graph that possesses the characteristics listed. Answers may vary. is increasing and concave up on $(-\infty, 4)$ fis increasing and concave down on $(4, \infty)$
Sketch a graph that possesses the characteristics listed. Answers may vary. is increasing and concave up on $(-\infty, 4)$ fis increasing and concave down on $(4, \infty)$...
5 answers
The use of definite integrals or improper integrals Find the following integral, if exists.dx (12 -1)1/3Given n > 0 and n is an odd number . Ifcl-5 15 dt = 2+1find the value of n_
the use of definite integrals or improper integrals Find the following integral, if exists. dx (12 -1)1/3 Given n > 0 and n is an odd number . If cl-5 15 dt = 2+1 find the value of n_...
5 answers
Which type of immune cell from the humoral immune systemproduces antibodies.plasma cellsnatural killer cellsneutrophilsT-cellsB - cells
which type of immune cell from the humoral immune system produces antibodies. plasma cells natural killer cells neutrophils T-cells B - cells...
5 answers
30 "00 8 0 B 04 Find 11/3 11 dx -2/3 at (1,3) for the curve 2x? { =
30 "00 8 0 B 04 Find 11/3 11 dx -2/3 at (1,3) for the curve 2x? { =...
5 answers
CalculusFind the indefinite integralcos(rs) drby using substitution and then using integration by parts on the new integral.
Calculus Find the indefinite integral cos(rs) dr by using substitution and then using integration by parts on the new integral....
5 answers
Ybax t has on Ine_neoding Avcincity Of 20 No"n roRmo Kd Olte rlotlu WJCS n Jmph @irent 18 Lonai Is thc uncntimc course Bftne booh > Round -inc 'orgcse ncurest terttn mph t6 Int laoa Oearesl dcgree
Ybax t has on Ine_neoding Avcincity Of 20 No"n roRmo Kd Olte rlotlu WJCS n Jmph @irent 18 Lonai Is thc uncntimc course Bftne booh > Round -inc 'orgcse ncurest terttn mph t6 Int laoa Oearesl dcgree...
5 answers
1. Define the steps of gene expression: Be sure to specifically speak to the following: (USLO5.1)DNA ReplicationTranscriptionTranslation
1. Define the steps of gene expression: Be sure to specifically speak to the following: (USLO5.1) DNA Replication Transcription Translation...
5 answers
Solve the system9x - 4y = 27x + 12y =2{63)} B. {(3,31} {(- 5,21}
Solve the system 9x - 4y = 27x + 12y =2 {63)} B. {(3,31} {(- 5,21}...

-- 0.058278--