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Evaluate the integrals. $$ \int\left(\frac{3}{x^{0.1}}-\frac{4}{x^{1.1}}\right) d x $$
So here in this question will be subdued ing one minus x square as you So that would give us minus two. X d. X is equal toe, do you? So that would be X d X is equal to minus. Do you buy two? So the value off you also changes or value off you would be the next is equal to zero. The value of you would be one minus zero square, which is one when it's physical. The one develop you would be is one minus one squared, which is zero. So the lower limit and upper level changes from 0 to 1 toe 120 So that would become integral 1 to 0 12 times you raised toe or fifth wrote off you Do you buy minus? Do you buy two? So we're taking the negative sign outside. That would be minus, uh, 60 to 1. You raised one by five deal. So we already know this identity Integral a Toby have perfect DX but is equal to minus integral B to a for six weeks. So if he interchange the limits, the sign would change. So change off limits or interchange of limits would change that sign. So we already have a negative sign here. So it be inter changing the limits from minus, uh my 12020 to 1 so the negative negative will become positive. So that gives us six integral 0 to 1 you raised to five deal. So we already know that integral, uh, X rays 26 restaurant plus one plus one. So that would give us one by five, plus one by one by five. So, by applying the limits, here will be getting six and two, uh, six by five by six. You raised toe six by 50 to 1. So on further applying the limits of you'll be getting five times one race 26 by five, five times one race for six by five minus zero. So that would be the final answer would be five. So the final answer here, which we've got, is correct Answer, which is five
In this question that is asked to find the integration of one. Do I did boy Exodus to the about 1.1 -1 by X. You can see that it can be recognized. Integration of x rays to depart -1.1 minus integration of wonderful. Next No, we you can see that integration of x rays to the power minus 1.1 is minus 1.1. That's one Divide by -1.1 last one and minus in the original one of one axis and then more or less. X. Let's see no film yet. We can say we get extras to be power -0.1 Divide by -0.1 minus land model. S X. Let's see. So you can say that finally dan series minus 10, divided by x rays with about 0.1 finest I learned more or less. X. Let's see. This is the final answer of this question here. Thank you.
In this question that is asked to find the definite integration in the limits of -1.2-1.2. For the function it is to depart- X -1. So first of all I am going to write the formula that is anti derivative of areas to the power X plus B is one upon a Areas to the power X plus B. Let's see. So in our question we can see AIDS -1. These also -1. So we substitute this value so we should get this antithetical to that is one divided by minus one, it is to the power minus x minus one and in this antibiotic but we have to substitute our limits. So the fundamental theorem says that first of all need to substitute for limited So we can see we get minus it is to the power -1.2 -1. Then we have to substitute lower limit. So we get minus areas to the power minus minus stands, holding the blood So 1.2 -1 and now further simplification. The wife says minus it is to depart minus two point oh Plus areas to the power 0.2 and this can also be written as areas to the about 0.2- areas to the Power -2.2. So this is the final answer of this question here. Okay thank you
In discussion. It is us to integrate in the limits of little to one. The function that is 2.1 x -4.3 X. Rays to Devour 1 4. So first of all we are going to find the interior negative 20 negative two point access 2.1. Access square by two. An empty their ability to access to the power 1.2 is access to the about 2.2. Do you like to buy a phone call? So this is the anti derivative and in this indeed elevated. We need to substitute the limits. So the fundamental to remove calculus says that we have to put the parliament first of all. So we get 2.1 by two minus 4.3, divide by 2.2. And when we put lower limit that is zero. So we can see that all the terms are now being 20. No, we need to calculate here 2.1, Divide by two. That is it was too one point prosciutto like minus. We have to calculate 4.3 And divide by 2.2. That is approximately 1.9545. And then after subtracting we can see we got the final answer that is minus 0.90 for like but this is The final answer of this question here, that is -0.9045. Okay, thank you