Find the area under the graph of each function over the given interval. 26. y = x; [0, 1] 25. y = x³; [1, 3] 27. y = x² +‹x + 1; 28. y = 2 - x - x²; 29. y = 5x²; [1, 2] 30. y = 2x; [-2,3] 31. y = e³x; [-1,5] [2,3] [−2,1] 32. y = 2x + = [1,4] 1/2 In Exercises 33 and 34. determine visually whether (f(x) dx

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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How would you solve for problem 32?
x +
locale=&platformId=1030&iesCode... A
: Integration
Find the area under the graph of each function over the given
interval.
26. y = x¹; [0, 1]
25. y = x³; [1, 3]
27. y = x² + x + 1;
28. y = 2 - x - x²;
29. y = 5x²; [-1,2]
31. y = e³x, [-1,5]
b)
[1,4]
In Exercises 33 and 34, determine visually whether f(x) dx
is positive, negative, or zero, and express ff(x) dx in terms
of area A.
33. a)
YA
[2,3]
[-2,1]
a
A
A
30. y ex; [-2,3]
32. y = 2x +
b
+/
Sign in
B
Transcribed Image Text:x + locale=&platformId=1030&iesCode... A : Integration Find the area under the graph of each function over the given interval. 26. y = x¹; [0, 1] 25. y = x³; [1, 3] 27. y = x² + x + 1; 28. y = 2 - x - x²; 29. y = 5x²; [-1,2] 31. y = e³x, [-1,5] b) [1,4] In Exercises 33 and 34, determine visually whether f(x) dx is positive, negative, or zero, and express ff(x) dx in terms of area A. 33. a) YA [2,3] [-2,1] a A A 30. y ex; [-2,3] 32. y = 2x + b +/ Sign in B
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