posted by Christiana .
Use the limit process to find the area of the region between f (x)=10x+8 and the x-axis on the interval [0,3]
Subdivide the area into n vertical rectangles, each of width
The (x-)position of the ith rectangle is x(i)=(i-1)(3/n)=3(i-1)/n.
The height is
The area is
The total area is therefore A
Evaluate the summation and calculate the area A by taking limit n → ∞.