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17. [0/1 Points]DETAILSPREVIOUS ANSWERSSCALCET8 5.3.044.Evaluate the integral_if -3 <x<0 F; f(x) dx where f(x) = {6 _ x2 if 0 < x<2 44/3 X...

Question

17. [0/1 Points]DETAILSPREVIOUS ANSWERSSCALCET8 5.3.044.Evaluate the integral_if -3 <x<0 F; f(x) dx where f(x) = {6 _ x2 if 0 < x<2 44/3 X

17. [0/1 Points] DETAILS PREVIOUS ANSWERS SCALCET8 5.3.044. Evaluate the integral_ if -3 <x<0 F; f(x) dx where f(x) = {6 _ x2 if 0 < x<2 44/3 X



Answers

Use the Substitution Formula in Theorem 7 to evaluate the integrals in Exercises $1-46$. $$\int_{2}^{16} \frac{d x}{2 x \sqrt{\ln x}}$$

So we're given a piece wise definition for function. It's minus two x plus one What ex lesson zero. 17 4 x equals zero each. X squared minus 34 x Blessed four greater than zero and it's expert two plus one for X greater than equal to four. Needed to graduate F off minus three and if off. Sleep now minus three lessons. Zero. And for eight lessons, you know, improve exes minus two expressed one. So a four minus three is minus two into minus three. Plus one is equal to seven. Learning to grab your life off. Three. Now threes Lesson four Better than zero and for act less than four. Better than zero f of x is X squared ministry. So if all three will be three squared minus three the equal 6436

Problem. 10. The same Troy does not depend on the Gamma, so we may said government is equal to one. So we apply. Equation one for M y is equal to integration from 0 to 3 x six minus two x the X, which is equal to three x squared, minus 2/3 x. Bauer three from the three, which is equal to nine, and M X is equal toe. Uh huh. Integration from 0 to 3 off six minus two x squared the X, which is equal to uh huh 36 x minus 12 X squared plus 4/3 Expose three from 0 to 3, which is equal to 80 and the total mass and is from a is equal to integration from them. It's really off. Six months to x The X, which is equal to six x minus X squared from the United Religions April tonight. So the center of mass is equal. Toe export is equal to M y. Over the energies night over 90 is equal to one. And while bar is equal to N X over m pretty equal toe 18/9 Physical to center organized is one and two

In this question will record that have integral from HP f X the X plus another integral from B to C f x t x then we can t go to the integral from a to c f x T x here were given the integral from 0 to +14 x manage to the X plus three integral from 0 to 1 X minus one. The X Now we want to combine them to one single integral. So we'll be from 30 to 1 now They considered the X fast. We have four doesn't even multiple in some 103. So totally 107 x now Now the man is still plus the minus three include U minus five. The X on now we have entirely riveted on the seven X equal to the seven x Square are with two minus untidy derivative of the five equity the five X evaluated from the 21 So we get equal to it was the one in 707 hour to minus five. It would desert in Saigon the zero So at the end we have this form here, which is we go to the, uh minus three and two

Hello Friends. We have to evaluate their given different integer that is 3-6. one of 1 screwed up. X minus of seven. Yes. Okay So this will be cost 3-6. So now we will do integration. So this will be cost react to the power one way to upon one word minus of seven X. And the limit is 3- six. So we will put the limit to half the square root of 6 -7-6 minus off. 20 square root of three minus off 21. So this will be a cost to two of the top six 42 months of golf. 200 screwed or three plus 21. So it's quite out of six minutes square root of three Monakhov 21. So this will be cost two months of 19 57 So this is the answer. I hope. You're not sure. Thank you.


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