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Evaluate Je da where F = (Xy; and C Is the curve parametrized by c(t) (1,t+t) lor Osts1 Attach Flle Urowie Local Filed Drauae Content Collecton...

Question

Evaluate Je da where F = (Xy; and C Is the curve parametrized by c(t) (1,t+t) lor Osts1 Attach Flle Urowie Local Filed Drauae Content Collecton

Evaluate Je da where F = (Xy; and C Is the curve parametrized by c(t) (1,t+t) lor Osts1 Attach Flle Urowie Local Filed Drauae Content Collecton



Answers

Find $\int_{C}[(x+2 y) d x+(2 x+y) d y]$ along each curve $C$. $C$ is the curve $y=x^{3}$ from (0,0) to (1,1)

Today we're going to solve problems that they want here in this three Venice from zero comma, zero comma zero one comma, one comma zero execute toe The why you clear to be they did go to zero zero last on a record of Lansdowne record toe one in the global sea exit squares that the x minus by X squared Delay plus three dessert integral 0 to 1 zero minus Take you deity plus zero equal to minus theorist four by four 0 to 1 which is equal to minus one by for C two front, learn Kamala and comma zero one. Come over and come out. Execute a warm. What you go to war is that they could take zero. That's the no record today. That's not record. Tomorrow. Indigo 0 to 1 zero minus zero plus three d p equal to three Sikri from one colomba in Colombia too. Zero comma, zero comma. Zero execute one minus t. Why you goto one dynasty is that they go toe one dynasty zero less than a recorded less than a record toe one 0 to 1 mark minus the the whole square one minus t in minus duty minus minus T one minus T square, minus duty plus three Indo minus duty which will be getting us minus street seven plus Ito plus citric equal to minus one day for plus three minus tree a quarto, minus one before. Thank you.

In this problem of vector calculus we have to find the value of line integral. This is a term X plus two way D X plus two x plus Y, B. Y. And along the courtesy And here we have given C E j. Carbo. Why it equals to access square. Now we have to find the value of land integral from 00 211 from here we can say G of X equals to white is equals two X square. And also we can say genius of X equals to two X. And also we have dy is equal to here. F. Here we can see here the GTs affects B X. Now putting the value say integration we are converting all the terms in X. So we will put the limit of X. X is wearing from 0 to 10 to one X plus two way. So X and y is equal to X the square. So this is two X squared D X plus. We can separate this time. Also Limit of X 0- one. Two X plus Y equals two X square. And dy dy is equal to G D x X multiple Led X O G D s X is equal to two X. And here this valuable with the ex Now we have to integrate integrating X is equal to x square. They were with two integration of two, X squared equals two. Here to divide with three and x cubed We have to put the limit also lower limit zero per limit one plus two X multiply every two weeks which is equals to four X square plus two X cube DX Lower limit zero Parliament 1. Now when we put upper limit so this way we will be one divide with two plus two divided with three. When you put zero. So this term is zero plus integration of these terms four X square. So this age X cubed divide with three plus Integration of two excuses. Two multiplied with actually powerful divide with four. Now we have to put the lower limited zero upper limit one here one divided with two Plus 2, divide with three. Plus. When you put upper limits of this term will be four divided with three. Upper limit. So this well it would be one divided with two. Or we can say to divide with four. So this is one divide with two. When you put lower limits. So this time is equal to zero. Now we have to solve it. So here one divide with two plus one divided by two is one. To divide with three plus four divided with three is equals two. Two so one plus two is equal to three and three is the right answer. There's


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