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Evaluate x" Inx dx using the table of integrals.Click here to view page 1 of the table: Click here t0 view page 2 of the table: Click here to view page 3 of th...

Question

Evaluate x" Inx dx using the table of integrals.Click here to view page 1 of the table: Click here t0 view page 2 of the table: Click here to view page 3 of the table:Choose the correct answer below:0A Jx4 Inx dxexsl Inkxl 3] +C Inx 0 B. Ix Inx dx=x 25 5|x4 Inx dx=xs] Inx 75 25_ Inx 0 D. Jx Inx dxex 25 5

Evaluate x" Inx dx using the table of integrals. Click here to view page 1 of the table: Click here t0 view page 2 of the table: Click here to view page 3 of the table: Choose the correct answer below: 0A Jx4 Inx dxexsl Inkxl 3] +C Inx 0 B. Ix Inx dx=x 25 5 |x4 Inx dx=xs] Inx 75 25_ Inx 0 D. Jx Inx dxex 25 5



Answers

Evaluate the following integrals: $$\int x \ln 5 x \, d x$$

No, but I am the question were given integral role on the D. Thanks all the next Lanham that thanks. Using the competition urine culture on and on the X again, a deer in court You one of angsty acts so immune Stander This part here examining with you and this one will be the year. Therefore, we get it in a culture that you over you. So until the river after one of a new culture and I'm absolutely you see a new coach Ellen of X so again echoed you and an absolute on the X. Let's see, find a puppy were given into ground a bermanis five Next x using a substitution. Yuriko jeweler minus five x began in the u equals u minus five x So it means that this one will be the you now And the ex Cogen are coming to this one. We ended the year over minus five. De forget it. Go to the inter, grow a about you and then be you all over minus five. Minus fine is a constant. So it can bring in outside someone is 1/5 in the ground. You d new and this integral exactly Status stems. You get each of you plus e but new ego to Manus Phi X and forgetting good. You man is one of a five agent about minus five x plus c.

Question Greek on a band of family I'd in the table where we have the in the ground and end of X the X equal tuned the ex online off X minus X. That's a constant C it is question were given the integral and land off the for over five x t x They're not to stand before we're applying the formula, and we put this on will be the new. So you echo to the farms off five X. Did you get equal to the four or five the X. So the X equal to the far off you go to the 5/4. Do you before we can re write this down into the 5/4 Integral on the and then you do you Now we are really just like the formula here together, 5/4 times with the we have this one gonna be that you and and, um that u minus you and then plus a constancy. And because we have the you echo to this one so we can. Looking back, you have five or four, then 4/5 X and then on the four or five, uh, thanks and then minus 4/5 X plus a constancy. Yeah, we were 75. Get Nico Junior. Uh, thanks. I land on the farm of five X and then we get minus X plus a constant C, and this will be the answer.

So for this problem in order to find are integral. We know right off the bat that because this is a pretty complicated integral, we're going to want to use u substitution. And so the way that we're going to determine what to use is essentially we're going to look at the innermost portion of the most complex part. So the most complex part of our expression is this e to the five X squared minus one. So the innermost part is going to be this five x squared minus one. So that means that I'm going to choose you to be equal to that five X squared minus one. And when I take the derivative, do you is going to be equal to 10 x t x. And so that means that it's going to cancel very nicely with this X here who divide both sides of our equation by 10 we get one tends to you, is equal to X T X, which we can go ahead and plug straight into our equation. S R interval is going to become the integral of 1/10 each of the U Do you? And essentially, we know that the integral E to the X is just going to be e to the X. So that means that our interval will be 1 10 each of the U Plus C and we are our last up is going to be plugging Are you back in? So it's 1/10 e to the five x squared minus one power plus C.

This question. Kanda from 105 when we have integral off the new t knew all the the square root off the I was being you And then we get Nico todo two out of three be square terms weren't of being u minus, did you? And then Times Square under a plus BU classic constancy in this question were given in the girl off the on And I'm the angsty X divided by a squared on the far on the X minus one. It will use the new equal Jr on the X But then you don't you wanna thanks the X So their family saying this quantity Yeah, exactly. With you on this one would be the u on citizen will be you. Therefore, we can rewrite this time into the farm off new Dave. You off the square, root off the phone, Humanist one. So we compared to the formula and then we see that the number form withstand from the B minus one B, I have phone we can get the answer will echo Judith to on top three. Be square with being, uh, for square and then be you will be fun. You and then minus two eyes are crossed. Julia, squarely on the phone. Humans one because a constancy. Because you go to the end of banks. That formation defined. We get Geico, June? Uh, yeah. 16. The zone 16 even. But you will be eight and then went out of gentle for here on. And then we have the far year plus two squared on the far U minus one. Uh, you will be there on the expel. So I'm on the express Jew squared enough for one of the finest one. That's a constancy.


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