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Niles
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[SOLVED] Evaluating line integrals
I am given a line integral:
[tex]\int (x^2+y^2)^2ds[/tex], where C is a circle of radius 3 with centre in (0;0).
Evaluate it.
Ok, first I know [tex](x^2+y^2)^2[/tex] = [tex]81[/tex]. So far, so good.
Then I know for an object in the xy-plane, ds = r*dr*d[tex]\theta[/tex]. I just insert and use the correct limits, and do the integral?
Thanks in advance.
Homework Statement
I am given a line integral:
[tex]\int (x^2+y^2)^2ds[/tex], where C is a circle of radius 3 with centre in (0;0).
Evaluate it.
The Attempt at a Solution
Ok, first I know [tex](x^2+y^2)^2[/tex] = [tex]81[/tex]. So far, so good.
Then I know for an object in the xy-plane, ds = r*dr*d[tex]\theta[/tex]. I just insert and use the correct limits, and do the integral?
Thanks in advance.