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tavo0116
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Homework Statement
Let C be the boundary of the domain enclosed between y = x^2 and y = x. Assuming C is oriented counterclockwise. Evaluate the integral
∫c (6xy+e^(-x^2))dx
Homework Equations
I was thinking of using Green's Theorem. Would be the approach be correct?
The Attempt at a Solution
d/dy (6xy+e^(-x^2))dx = 6x, and integrate that I got 3x^2
What would be the limit? Would the problem be double integral since there is no "dy".
Would the limit be from 0 to 1 since y = x^2 is a parabola, and y = x is a diagonal line through the origin?
What about the dy? Would it need to be added? How?