What is the area of the region bounded between the curves y=6x^2 and y=4x?

The area of the region between the curves y=6x^2 and y=4x is 8/27

Step-by-step explanation:

Use the diagram to visualize the problem, the area colored of blue is the one that needs to be found, let's do it in 3 parts:

Part 1: Find the intersection points of the curves

To do this we put both equations in one and solve it for x:

This equation has 2 possible solutions:

x=0 and x=2/3, so the interval for integration is 0 <= x <= 2/3

Part 2: Find the area below each curve

, evaluate in 0 and 2/3

, evaluate in 0 and 2/3

Part 3: Substract the area of the blue curve (y=6x^2) to the area of the red curve (y=4x)

the answer is stop cheating on things stoopid

step-by-step explanation:

im eatin up the 44