Application of IntegralsClass 12 Mathematics MCQs

According to the provided text, the area of a region bounded by the curve $y=f(x)$, the x-axis, and the ordinates $x=a$ and $x=b$ is conceptualized as the sum of the areas of numerous, very thin:

Find the area of the region bounded by the ellipse $\frac{x^2}{16} + \frac{y^2}{9} = 1$.

What is the area of the region bounded by the curve $y=x^2$, the x-axis, and the lines $x=1$ and $x=2$?