- #1
BigFlorida
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Homework Statement
The parametric equations of a circle, center (1,0) and radius 1, can be expressed as x = 2cos^2(theta), y = 2cos(theta)sin(theta).
Evaluate the integral of {(x+y)dx+x^2dy} along the semicircle for which y >=0 from (0,0) to (2,0).
Homework Equations
Perhaps Green's Theorem?
The Attempt at a Solution
I tried using Green's Theorem, I tried using polar coordinates, I tried using a combination of Green's Theorem and polar coordinates, I tried trig substitution, I tried u substitution, I tried integration by parts, I tried change of variables. I literally tried every technique I know for integration except partial fractions. I am at a complete loss. Any thoughts on the setup?