1. We are interested in evaluating the integral √ √9-² da. Note that this integral gives you the area of an elementary geometric figure. (a) First, use a Riemann sum with 3 rectangles and right-hand endpoints to approximate the area under the curve.

Calculus: Early Transcendentals
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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(b) Evaluate the integral by interpreting it in terms of the area under a curve.
Transcribed Image Text:(b) Evaluate the integral by interpreting it in terms of the area under a curve.
1. We are interested in evaluating the integral

\[
\int_{0}^{3} \sqrt{9-x^2} \, dx.
\]

Note that this integral gives you the area of an elementary geometric figure.

(a) First, use a Riemann sum with 3 rectangles and right-hand endpoints to approximate the area under the curve.
Transcribed Image Text:1. We are interested in evaluating the integral \[ \int_{0}^{3} \sqrt{9-x^2} \, dx. \] Note that this integral gives you the area of an elementary geometric figure. (a) First, use a Riemann sum with 3 rectangles and right-hand endpoints to approximate the area under the curve.
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