B In Problems 17-26, evaluate each iterated integral. (See the indicated problem for the evaluation of the inner integral.) 22. ∫ 0 1 ∫ 2 5 x y + x 2 d y d x (See Problem 12.) 12. (A) ∫ x y + x 2 d y (B) ∫ 1 5 x y + x 2 d y
B In Problems 17-26, evaluate each iterated integral. (See the indicated problem for the evaluation of the inner integral.) 22. ∫ 0 1 ∫ 2 5 x y + x 2 d y d x (See Problem 12.) 12. (A) ∫ x y + x 2 d y (B) ∫ 1 5 x y + x 2 d y
Solution Summary: The author calculates the iterated integral with respect to y.
BIn Problems 17-26, evaluate each iterated integral. (See the indicated problem for the evaluation of the inner integral.)
22.
∫
0
1
∫
2
5
x
y
+
x
2
d
y
d
x
(See Problem 12.)
12. (A)
∫
x
y
+
x
2
d
y
(B)
∫
1
5
x
y
+
x
2
d
y
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.
Use the formulas developed in this section to find the area of the figure.
A=
(Simplify your answer.)
8.5 m
7
T
13 m
7.7 m
m
21 m
Find the circumference and area of the circle. Express answers in terms of and then round to the nearest
tenth.
Find the circumference in terms of
C =
(Type an exact answer in terms of л.)
9 cm
Chapter 7 Solutions
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