Question

use a line integral to compute the area of the given region. The ellipse (4x^2)+ (9y^2) = 36

Answer 1

Use x = a cos t, y = b sin t -> dy = b cos t

Answer 2

divide equation by 36 to get in standard form.

a and b are square roots of denominators.

Integrate 0 to 2pi

Answer 3

would the formula "(pi)(a)(b)" be correct for area? It would give me 6pi