Consider the graph with the region shaded. How can you approximate the value of the definite integral? 2.5 15 S(x) 0.5 05 35 45 55 -1.5 -2.5 | Sum the function values on the interval [0, 3]. | Set up a Riemann Sum on the interval [0, 3]. ) Find the antiderivative of the function and then use the net change theorem (fundamental theorem of calculus). | Find the average rate of change of the antiderivative of the function. O Approximate the shaded area on the interval [0, 1] and approximate the area on the interval [1, 3] and then take the sum of these two approximation. Approximate the shaded area below the horizontal axis and subtract that area from the area that is above the horizontal axis.

Calculus: Early Transcendentals
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Author:James Stewart
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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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Consider the graph with the region shaded. How can you approximate the value of
the definite integral?
2.5
15
S(x)
0.5
05
35
45
55
-1.5
-2.5
| Sum the function values on the interval [0, 3].
| Set up a Riemann Sum on the interval [0, 3].
) Find the antiderivative of the function and then use the net change theorem
(fundamental theorem of calculus).
| Find the average rate of change of the antiderivative of the function.
O Approximate the shaded area on the interval [0, 1] and approximate the area on
the interval [1, 3] and then take the sum of these two approximation.
Approximate the shaded area below the horizontal axis and subtract that area
from the area that is above the horizontal axis.
Transcribed Image Text:Consider the graph with the region shaded. How can you approximate the value of the definite integral? 2.5 15 S(x) 0.5 05 35 45 55 -1.5 -2.5 | Sum the function values on the interval [0, 3]. | Set up a Riemann Sum on the interval [0, 3]. ) Find the antiderivative of the function and then use the net change theorem (fundamental theorem of calculus). | Find the average rate of change of the antiderivative of the function. O Approximate the shaded area on the interval [0, 1] and approximate the area on the interval [1, 3] and then take the sum of these two approximation. Approximate the shaded area below the horizontal axis and subtract that area from the area that is above the horizontal axis.
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