# line integration and Green's theorem

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Compute the integral of 4y^3 dx -2x^2 dy around the square bounded by the lines y=+/- 1 and x=+/-1

a) directly by performing the line integration, and

b) by using Green's theorem.

By symmetry, it is obvious that one of the terms in the integrand of the above line integral can be ignored? Which term?

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This solution assists with line integration and Green's theorem.

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Problem:

Compute the integral of 4y^3 dx -2x^2dy around the square bounded by the lines y=+/- 1 and x=+/-1

a) directly by performing the line integration

b) by using Green's theorem

Solution:

a)

Computing the integral

...

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