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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

[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