Explanation Given information: The function G x = 0.1 x 3 + 1.2 x 2 − 0.4 x − 4.8 over the interval − 10 , − 4 using 6 subintervals. Concept used: Using the Riemann Sums, we can evaluate the approximate area as, ∑ i = 1 n f x i Δ x = f x 1 • Δ x + f x 2 • Δ x + f x 3 • Δ x + f x 4 • Δ x + .... + f x n • Δ x Calculation: Divide − 10 , − 4 into 6 subintervals of size Δ x = b − a n , Here, a = − 10 , b = − 4 , n = 6 So, it becomes, Δ x = − 4 + 10 6 = 1

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Chapter 4.2, Problem 24E

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To find: the approximate area.

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Chapter 4 Solutions

CALCULUS AND ITS APPLICATIONS BRIEF

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the approximate area.

Solution Summary: The author calculates the approximate area using the Riemann Sums. The area under the graph from -10 to -4 is approximately.

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