# 2013F002/A8

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mta*

# 2. Numerical Integration

Use vertical rectangles to estimate the areas of the objects shown on the following hand-outs. Use both the "middle" rule and the "left rule" for each.

# 3. Numerical Integration

In this problem, we are given an equation that represents the height so we can compute the area by hand calculations and by iteration.

• Compute the area between the lines y=0, x=3, and the curve y=0.3333·x3 using rectangles of width 1. Use this graph paper and let 1 unit be the width of a square. Turn in your diagram at the start of class. Include your calculations on your paper. You do not need to put your answers to this question on your wiki page.
• Write a program without a for to compute the area using w=1.
• Write a program with a for to compute the area using w=1.
• Repeat all of the above using using w = 0.5.