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I just read the section so I want to make sure I am doing it correctly..
I am using it to assist in solving an area question....
Question:
Estimate the area under the graph of f(x) = 1 + (x  1)^2 from x = 0 to x = 3 using 6 rectangles and right end point.
Each rectangle has a base of 0.5 wide
1. Ʃ 1 + (0.5*i  1)^2 = i^2/4  i + 2 ; i = 0 and n = 6
2. Breaking them up:
1/4Ʃ i^2  Ʃ i + Ʃ 2 ; i = 0 and n = 6
3. Calculating the area of f by computing the sum of the areas of each rectangle in
[0 , 3]
.5( 1/4*(6*13*7)/(6)  (6*7)/2 + 6*2) = 6.85
I am using it to assist in solving an area question....
Question:
Estimate the area under the graph of f(x) = 1 + (x  1)^2 from x = 0 to x = 3 using 6 rectangles and right end point.
Each rectangle has a base of 0.5 wide
1. Ʃ 1 + (0.5*i  1)^2 = i^2/4  i + 2 ; i = 0 and n = 6
2. Breaking them up:
1/4Ʃ i^2  Ʃ i + Ʃ 2 ; i = 0 and n = 6
3. Calculating the area of f by computing the sum of the areas of each rectangle in
[0 , 3]
.5( 1/4*(6*13*7)/(6)  (6*7)/2 + 6*2) = 6.85
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