Posted by **Christiana** on Wednesday, May 25, 2011 at 6:09pm.

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]

- Math -
**MathMate**, Thursday, May 26, 2011 at 4:19pm
Subdivide the area into n vertical rectangles, each of width

w=(3-0)/n.

The (x-)position of the ith rectangle is x(i)=(i-1)(3/n)=3(i-1)/n.

The height is

h(i)=10x(i)+8

The area is

a(i)=w*h(i)

The total area is therefore A

n

∑ a(i)

i=1

Evaluate the summation and calculate the area A by taking limit n → ∞.

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