1. Let f(x) = x + 1 on (0,2) a) Find the area geometrically, that is graph f and find the area using shapes you know.

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1 Let F X X 1 On 0 2 A Find The Area Geometrically That Is Graph F And Find The Area Using Shapes You Know 3 (95.77 KiB) Viewed 24 times

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1. Let f(x) = x + 1 on (0,2) a) Find the area geometrically, that is graph f and find the area using shapes you know.

b) Find the area using A = lim x1=1 f(xi)Ax n →00

Step 1. Find Ax Step 2. Find f(xi) = f(a + Axi) Step 3. Find f(xi)Ax Step 4. Bring it back to the sum and take the limit.

2. Show that the area under the curve of g(x) = x2 +1 on [1, 2] equals. That is, 10 3 n 10 A = lim f(x;)Ax = = 3 i=1