Calculus 3: Line Integrals (14 of 44) What is a Line Integral? (y^2)dx+xdy Example 3

In this video I will find the line integral of (y^2)dx+xdy where C={C1,C2} using a different curve. Ex. 3

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[pipertripp]

Nice. I like the way you did this. I converted it into the dot product of two vectors and did a slightly different, but equivalent parameterization. I let t range from -5 to 0... and it works just fine. But I like the idea of a simpler bounds of integration.

[ptyptypty]

This Video is all about where "the rubber meets the road" !!! wow, Michel!.. nicely done.. It's nice to see how you came up with the Paramaterization!!..

[caiodesa]

Use Stokes' theorem to compute integral (y ^ 2dx + x ^ 2dy), where C is the outline of the part of the plane 2x + y + z = 4 that is in the first octant, counterclockwise.

[mtifruw]

can I make an equation for the first curve using the points and use it in the (function) for the integration as done in the second curve ?

[aayushpatel]

Thankyou sir now I am able to do my assignment 🙏🙏

[irshadsirslectures]

Better is to b simple by taking equation of st line through two given points set one variable equal to t

[goranjohanssln]

This is the first video i do bot understand . I am confused by the fact that there is No dS and that dx and dy is kindof mixed in f(x, y)

[lordyabo]

Sir what if the x is from -5 to -5? does that mean the first term of x would be 0t? Thanks!

[clydejohnson]

Very much enjoying your series on line integrals. How do you get a feel for what the function (y^2)dx+xdy looks like? I 'm a huge fan of your Lecture on Line. Many thanks.

[mrbriansu]

In this case, 3'34", no need to separate and better not separate.

[abdulrahmanmohamed]

sir, why did you set the limit for intgeration C1 from t=0 to t=1?? must it be 0 to 1? or the value is arbitrary??

[jjm]

Certain steps require slow showing with colour codes...pls.