Final answer:
To find the area bounded by the curves y=2x², y=-3x√, and x=4, we need to identify the points of intersection and set up the integral.
Step-by-step explanation:
To find the area bounded by the curves y=2x², y=−3x√, and x=4, we need to identify the points of intersection and set up the integral.
The curves intersect at x=0 and x=-4/3. The bounds of integration are 0 and -4/3, and the integrand is the difference between the upper and lower curves, which is (2x²)-(-3x√).
Integrating this expression from 0 to -4/3 will give us the area bounded by the curves.