(i) Draw the rough sketch of x^2/4 + y^2/9 = 1 (ii) Find the area bounded by the above curve using integration.

Question

(i) Draw the rough sketch of  
\(\frac{x^2}{4} + \frac{y^2}{9} = 1\)

(ii) Find the area bounded by the above curve using integration.

Answer 1

(i) The curve is an ellipse.

(ii) Area = 4\(\int\limits_0^2 ydx\)