Area Between Curves Worksheet with Answer Key

What's on the worksheet

1. Find the area of the region bounded by each pair of curves.
   y = x^2 - 3x and y = xy = \sqrt{x} and y = \dfrac{x^2}{8}y = \dfrac{4}{x} and y = 5 - x
2. Find the area of the region bounded by the parabola x = 4 - y² and the line y = x - 2.
3. Find the total area of the regions enclosed by the cubic y = x³ and the line y = 13x - 12.
4. Find the area of the region enclosed by y = ² x and the line y = 2 for -π2 < x < π2.
5. x y y = x² y = \dfrac{x²}{4} y = 4 The region R in the first quadrant is bounded by y = x², y = x²4 and the line y = 4 (see the figure).
6. x y y = 4 - x² y = 1 - \dfrac{x²}{4} Omar cuts a crescent-moon sticker from vinyl.