Computing area with parametrically represented boundaries : If the | Filo

Class 12

Math

Calculus

Area

532
150

Computing area with parametrically represented boundaries : If the boundary of a figure is represented by parametric equation, i.e., then the area of the figure is evaluated by one of the three formulas :

Where are the values of the parameter t corresponding respectively to the beginning and the end of the traversal of the curve corresponding to increasing t.
If the curve given by parametric equation forms a loop for all values of then the area of the loop is

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