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MAD4401 Quiz2 - using the method described above 2 Suppose...

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MAD 4401 Quiz 2 To approximate the integral of a function over an interval we will use some points on its graph of the function, fit a polynomial through those points, and then integrate the polynomial over the interval. This will serve as an approximation of the integral of the original function. 1. Suppose that f ( x ) is a function on [0,1]. Use the points 0, 1 2 ,1 { } to approximate the integral f ( x ) dx 0 1
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Unformatted text preview: using the method described above. 2. Suppose that f ( x ) is a function on [0,1]. Use the points 0, 1 3 , 2 3 ,1 { } to approximate the integral f ( x ) dx 1 ∫ using the method described above. 3. Suppose that f ( x ) is a function on [0,1]. Use the points 0, 1 n , 2 n , … , n − 1 n ,1 { } to approximate the integral f ( x ) dx 1 ∫ using the method described above....
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