In Unit 3, we learned about how we can find the area under a curve using integration. We can also find the area between two curves using integration! Take a peek at this short explanation, and then try out some extra practice with definite integrals by finding the exact area between curves.
Here's a summary from the short explanation:
A = [(upper curve) (lower curve)] dx, a < x < b
A = [(right curve) (left curve)] dy, c < y < d
Area 1: Find the area of the shaded region graphed below.
y = √x
Area 2: Find the area between the curves x = 2y^2, x = 4 + y^2. You are encouraged to graph in Desmos to help set this one up!
Area 3: Find the area between the curves y = sec^2x, y = 8cosx, -π/3 < x < π/3. You are encouraged to graph in Desmos to help set this one up!