Answered: f(x) = sec x, [0, 1] (а) 6 (b) -6 (с)…

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Calculus

f(x) = sec x, [0, 1] (а) 6 (b) -6 (с) (d) 1.25 (е) 3 2

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter1: Fundamental Concepts Of Algebra

Section1.3: Algebraic Expressions

Problem 20E

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Concept explainers

Numerical Integration

In a mathematical investigation, numerical integration comprises a wide group of calculations for computing the mathematical estimation of definite integral, and likewise, the term is moreover in some cases used to depict the numerical solution of differential equations. The most important aspect of this theory is error analysis.

Question

Use the Midpoint Rule with n = 4 to approximate the value of the definite integral. Use a graphing utility to verify your result.

f(x) = sec x,
[0, 1]
(а) 6
(b) -6
(с)
(d) 1.25
(е) 3
2

With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.

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