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tabukihna
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Homework Statement
The area of the ellipse [tex]\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1[/tex] is given by
[tex]\frac{4b}{a}\int_{0}^{a}\sqrt{a^{2}-x^{2}}dx[/tex] . Compute the integral.
Homework Equations
The Attempt at a Solution
I know I have to let [tex]x=asin\theta[/tex] and then [tex]dx=acos\theta[/tex] . Then I plug in x. Do I need to solve for a and plug that in, or am I really over thinking this?
Thanks in advance.