y=e^x, y=0, -1< x < 2
The area is:
Exp[2] - Exp[-1]
To find the area between the curve y=e^x and the x-axis on the interval -1 < x < 2, we need to integrate the absolute value of the function y=e^x.
The first step is to identify the points of intersection between the curve y=e^x and the x-axis. In this case, we have y=0 at x=ln(0)=-infinity.
Since the curve y=e^x does not intersect the x-axis on the given interval, the area between the curve and the x-axis is equal to zero. Therefore, the area is:
Area = 0