5

Fage 4 0t 5PreviougIextEvaluate Xsin(3x+ 4) dxEnter the answer heret0 Done...

Question

Fage 4 0t 5PreviougIextEvaluate Xsin(3x+ 4) dxEnter the answer heret0 Done

Fage 4 0t 5 Previoug Iext Evaluate Xsin(3x+ 4) dx Enter the answer here t0 Done



Answers

Evaluate $\int \frac{d x}{x^{5 / 4}-4 x^{3 / 4}}$.

Okay, We know the problems Tools we can substitute you is extra The fourth minus five, which means that we get d'you we take the derivative is four x cubed DD X, which gives us X cube de axe is do you divide by four Which means pulling out the constant Remember, Constable, the constant out of ventricles we have thus and we know that we we know the integral one over you is natural log of you pussy Sonata Final step substitute back in Obviously we don't want you in the final answer and we have our solution.

All right. In this problem we wish to calculate the definite integral from 4 to 5 X over x squared minus one Ds. This question challenges our understanding of integration and definite intervals in particular challenge technology. This topic applied to the topic of logarithmic functions combining the fundamental theorem of calculus with logarithmic form of the integral gives the integral from A. To B. One over your D. U. Equals natural algorithm of you from A to B. We can combine this formula with previous integration techniques we've learned to solve. We said that you is a nanometer, X squared minus one, do you? Is the numerator two? X dx were missing. This factor of two and our numerator that's what to make sure that this constant is carried over to the final solution. This is reflected as one half integral. A D V D u over U equals one half natural algorithm, absolute value you from A to B. This is one half Ellen after value x minus one. From 4 to 5, evaluating gifts one half Ellen 24 when it's one half Ln 15, which simplifies us Ellen square root of 8/5 as is shown.

In this question we have to integrate one by four access were plus four X plus five. What we can see that it can be written as one by some blood sweat off The works Plus one and blessed to work and it's a square. Okay now we are observing that we have to make a traditional two x plus one. Mhm And it that's a derivative to atlantic derivative delights us to be exceeded. Quest to satisfy where they don't need. It means we can although that We get here one by those square and it's weird Leicester square and again and the is replaced by psychics quarter to indeed it. We know that those who are again with organized common and then we get to this to the power port and we understand it's worth it is like it's worth it. So we get back raised to the power for no further After simplifying after dividing by six square theater We remain with one x 16. Integration of course is where it now to integrate courses square data we have no light it does one Let's go to 3 to buy two and then you can integrate it easily We take one x 32 with the Boston and outside and one integration is greater integration of course to sign right away. No you know I am to see it again the witness to scientific babysitter so you get one by potato data blocks. Find data into cost data and let's see now we will raise a tribute here the values because we observe that Then data was to explain one bite. If you make a right angled triangle then you can see this is two X plus one. This is too. So we should get the hyper dana. That can be other than that board. What? And yeah forex let's fight. So we should get here one x 32. And their ties to express one of 12 data should be down in the woods two x plus one x 2. And scientific is the ratio perpendicular broken. It's hard to express one up on the rules of four X squared plus four X plus one. And cost data is two by four X squared plus four X plus one. Okay. No after simplifying it, we can see that We finally got here one x 32. Then in a lot of two x plus one and divide by two less. Going to two x plus one and divided by four X squared plus four X plus one. Let's see. Okay this is the final answer of this question here. Thank you.

So we have DX over. So integral FDX over three minus five x to the power off four. I went looking here. I would think of doing substitution. So you is three minus five x. So do you. Over. DX is minus five. So d x is do you over Negative five. Now, remember, this can also be read as integral off three minus five X to the minus four DX. So now let's move on from there. Let's substitute. So that's integral. A few to the negative four, do you? Over. Negative five. Those This becomes minus 1/5. Just factor 1/5 out into grow. A few to the minus four. Okay, Now, uh, let's add one to the power. So integrating that'll be minus one of five times you to the minus three over minus three. So that's Ah minus you to the negative three. Over. Minus 15. Now we're not done yet because you is three minus five x. So let's put that in here. So three minus five x. So my to the minus three over negative 15 which is also three minus five x to the minus three over 15 plus c. So this is your final answer here


Similar Solved Questions

5 answers
Find the derivalivc of the fiiriction; fir) = sec"f ()-3sec` f" (r)=3secrSCc (I-r)-1?sec (1-r)"f" () -3sc0 Y1-4f (x)=-SxsecNI-1 tan] V1-xf @)-Jrsecscc |Ni-x
Find the derivalivc of the fiiriction; fir) = sec" f ()-3sec` f" (r)=3sec rSCc (I-r)-1? sec (1-r)" f" () -3sc0 Y1-4 f (x)=-Sxsec NI-1 tan] V1-x f @)-Jrsec scc | Ni-x...
5 answers
'(Fr)ag-? = (1'x)n UOHBULJOJSUBIA 041 Supsn Aq (&) "SO[YBHIEA JO LO[BIedos Butsn Aq Tp = (0 'z)n '0 = (1 *z)n = (1*O)n '0 < 3 > 1 > 0 'n8 IInz Fn JO UOTA[OS Sapos JJHnod 8 PuU
'(Fr)ag-? = (1'x)n UOHBULJOJSUBIA 041 Supsn Aq (&) "SO[YBHIEA JO LO[BIedos Butsn Aq Tp = (0 'z)n '0 = (1 *z)n = (1*O)n '0 < 3 > 1 > 0 'n8 IInz Fn JO UOTA[OS Sapos JJHnod 8 PuU...
5 answers
DetailsMcktRiG8 3.3.060,Subrisslons UiedKNotfsAgk YouptenchneIF & Is tne distance dc L @a recossaty(~0,947 0-4379 lcaolnc 'circumlcenteHounedccimal AJcesAucona Anaayn
details McktRiG8 3.3.060, Subrisslons Uied KNotfs Agk Youptenchne IF & Is tne distance dc L @a recossaty (~0,947 0-4379 lcaolnc 'circumlcente Houne dccimal AJces Aucona Anaay n...
5 answers
Predict the product of this following reaction;cicCrs CI_CH,OHH;SO4OCH;CX,CHiCho OCHich,Oexe0 VU "
Predict the product of this following reaction; cicCrs CI_CH,OH H;SO4 OCH;CX, CHiCho OCHich, Oexe 0 V U "...
5 answers
Joech day (7a Sasha tavels wolz tha probabili LialemcxcticncCcanc AHe(8) For the nexl 21 days that Saaha Qutehi Pobaadify Elel Su9h Whut probobillly Inat Saghas futst eduy Icrt Atlct Ihc fhhdm Conside mMom samolt 21 dut Ehut Sush AIll Irate Moparhon proporteon approxlmatch no"lyl? Junurty YoU"HentMoIl}
Joech day (7a Sasha tavels wolz tha probabili Lialem cxcticncC canc AHe (8) For the nexl 21 days that Saaha Qutehi Pobaadify Elel Su9h Whut probobillly Inat Saghas futst eduy Icrt Atlct Ihc fhhdm Conside mMom samolt 21 dut Ehut Sush AIll Irate Moparhon proporteon approxlmatch no"lyl? Junurty Yo...
5 answers
V1 +84 ds, find F" (2) -5. If F(c) =f(t)dt, where f(t)Hint: Use the Fundamental Theorem of Calculus
V1 +84 ds, find F" (2) - 5. If F(c) = f(t)dt, where f(t) Hint: Use the Fundamental Theorem of Calculus...
5 answers
Consider the points (1,2,3), (0,2,4) and (2,1,3) in R3. Find the area of parallelogram with these points as three of its vertices. b) Find the perpendicular distance between (1,2,3) and the line passing through (0,2,4) and (2,1,3).
Consider the points (1,2,3), (0,2,4) and (2,1,3) in R3. Find the area of parallelogram with these points as three of its vertices. b) Find the perpendicular distance between (1,2,3) and the line passing through (0,2,4) and (2,1,3)....
5 answers
Draw structures for the following:(a) 2-Methylheptane(b) 4 -Ethyl-2,2-dimethylhexane(c) 4 -Ethyl-3,4-dimethyloctane(d) 2,4,4 -Trimethylheptane(e) 3,3-Diethyl-2,5-dimethylnonane(f) 4-Isopropyl-3-methylheptane
Draw structures for the following: (a) 2-Methylheptane (b) 4 -Ethyl-2,2-dimethylhexane (c) 4 -Ethyl-3,4-dimethyloctane (d) 2,4,4 -Trimethylheptane (e) 3,3-Diethyl-2,5-dimethylnonane (f) 4-Isopropyl-3-methylheptane...
1 answers
Begin by graphing $f(x)=\log _{2} x .$ Then use transformations of this graph to graph the given function. What is the vertical asymptote? Use the graphs to determine each function's domain and range. $$g(x)=\log _{2}(x+1)$$
begin by graphing $f(x)=\log _{2} x .$ Then use transformations of this graph to graph the given function. What is the vertical asymptote? Use the graphs to determine each function's domain and range. $$g(x)=\log _{2}(x+1)$$...
5 answers
Common Mame:'H NMR IUPA C Mame: (AS Ho :Zoom OutSolvent:0,8010.so1o.310.20|0.COLFigit TSAVE
Common Mame: 'H NMR IUPA C Mame: (AS Ho : Zoom Out Solvent: 0,801 0.so1 o.31 0.20| 0.COL Figit T SAVE...
5 answers
1. Use dsolve to find general solution of dy y2lnt + y = 0 dt
1. Use dsolve to find general solution of dy y2lnt + y = 0 dt...
5 answers
Hnoz HasoyOCh ,NO_
Hnoz Hasoy OCh , NO_...
5 answers
Why? ylene )mix- ines:soludie "0 Nitrogen narcosis begins to affect scuba divers at a depth Oftaboet fafcunder water; when the total surround: depth ing pressure is 4.0 atm_ What is the solubility of Nz in blood at this depth, assuming that blood dissolves Nz like water?
Why? ylene )mix- ines: soludie "0 Nitrogen narcosis begins to affect scuba divers at a depth Oftaboet fafcunder water; when the total surround: depth ing pressure is 4.0 atm_ What is the solubility of Nz in blood at this depth, assuming that blood dissolves Nz like water?...
5 answers
Decide whether descriptive or inferential statistics is used in the following statement:The average life expectancy in New Zealand is 78.49 years.DescriptiveInferential
Decide whether descriptive or inferential statistics is used in the following statement: The average life expectancy in New Zealand is 78.49 years. Descriptive Inferential...
5 answers
Ka s are as follows: amino terminus 8.0 carboxy terminus 3 [ R-group for Asp 4.1 R-group for Lys 10.8 R-group for Arg 12,5 R-group for Glu 41| R-group for Cys 8.31TTT Arlall3 (42p4)NH2
Ka s are as follows: amino terminus 8.0 carboxy terminus 3 [ R-group for Asp 4.1 R-group for Lys 10.8 R-group for Arg 12,5 R-group for Glu 41| R-group for Cys 8.31 TTT Arlall 3 (42p4) NH2...

-- 0.019936--