Determine the area of the region
y=e^x,y=x^3
The challenging part of this problem is to find the limits of integration, which is the intersection of the two curves.
As a hint, they meet at x=1.9 and 4.5 (approximately. You can use Newton's method or other iterative methods to improve the solutions.
After that, the area is
A=∫(x³-e^x)dx between those limits.