Explanation Given Information: Let f be a function f ( x ) = x 2 on the interval [0,4]. Calculation: Consider four rectangles on the given interval [0,4]. The sum of areas of small rectangles is given by , f ( x ) = x 2 Δ x = b − a n = 4 − 0 n = 4 n x k = a + k Δ x = ( 0 + 4 k n ) f ( x k ) = f ( 4 k n ) ∫ a b f ( x ) d x = ∑ k = 1 n f ( 4 k n ) 4 n ∫ a b f ( x ) d

14th Edition

ISBN: 9781464151088

Author: Associate Professor Laura Taalman, Peter Kohn

Publisher: W.H. Freeman & Company

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Chapter 4.1, Problem 4TF

To determine

To Find:the area under the curve of f(x)=x2 between the x -axis from [0,4].

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Chapter 4.1, Problem 3TF

Chapter 4.1, Problem 5TF

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the area under the curve of f ( x ) = x 2 between the x -axis from [0,4].

Solution Summary: The author calculates the area under the curve of f(x)=x2 on the interval.

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To Find:the area under the curve of f(x)=x2 between the x -axis from [0,4].

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Chapter 4 Solutions