Ellipse

Calculus Level 2

\[ \large \begin{cases} x = a \cos t \\ y = b \sin t \end{cases}\]

The equation above shown are equation of an ellipse. Find the area enclosed by ellipse in terms of \(a , b\) .

Details :

  • \(0 \leq t \leq 2\pi\).
  • \(a , b\) are positive constants.
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