A In Problems 7–16, find each antiderivative. Then use the antiderivative to evaluate the definite integral. 11. (A) ∫ x y + x 2 d x (B) ∫ 0 2 x y + x 2 d x
A In Problems 7–16, find each antiderivative. Then use the antiderivative to evaluate the definite integral. 11. (A) ∫ x y + x 2 d x (B) ∫ 0 2 x y + x 2 d x
Solution Summary: The author evaluates the definite integral, sqrty+x2+c, and then integrates with respect to u.
AIn Problems 7–16, find each antiderivative. Then use the antiderivative to evaluate the definite integral.
11. (A)
∫
x
y
+
x
2
d
x
(B)
∫
0
2
x
y
+
x
2
d
x
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.
3
2
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-1
-2
-3
4-
-5+
The curve above is the graph of a sinusoidal function. It goes through the points (-8, -4) and (6,-4).
Find a sinusoidal function that matches the given graph. If needed, you can enter π=3.1416... as 'pi' in your
answer, otherwise use at least 3 decimal digits.
f(x) =
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X Grades for X Assignmen X
A-Z Datab XE Biocultural X
EBSCO-Ful X Review
es/119676/assignments/3681238
Review Quiz 8.1-p2
points possible Answered: 3/5
● Question 1
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3.
2
1
13 /12-11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1
1
2
3
4
-1
-2
-3
-4-
5
2
6
The curve above is the graph of a sinusoidal function. It goes through the points (-7,0) and (3,0). Find a
sinusoidal function that matches the given graph. If needed, you can enter π=3.1416... as 'pi' in your
answer, otherwise use at least 3 decimal digits.
f(x) =
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Draw the following graph on the interval
k
5π
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