Compute the area of the shaded region in two different ways: (a) By using simple geometric formulas;
Question:
Compute the area of the shaded region in two different ways:
(a) By using simple geometric formulas;
(b) By applying Theorem I.
Transcribed Image Text:
Theorem I: Area under a Graph If f(x) is a continuous nonnegative function on the interval a ≤ x ≤ b, then the area under the graph of f(x), above the x-axis, from x = a to x = b is equal to the definite integral of f from a to b: "]-[*Foode = a Area under the graph of f from x = a to x=b where F is an antiderivative of f (Fig. 4). f(x)dx= F(b) - F(a),
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Related Book For
Calculus And Its Applications
ISBN: 9780134437774
14th Edition
Authors: Larry Goldstein, David Lay, David Schneider, Nakhle Asmar
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