B In Problems 17-26, evaluate each iterated integral. (See the indicated problem for the evaluation of the inner integral.) 17. ∫ − 1 2 ∫ 0 1 12 x 2 y 3 d y d x (See Problem 7.) 7. (A) ∫ 12 x 2 y 3 d y (B) ∫ 0 1 12 x 2 y 3 d y
B In Problems 17-26, evaluate each iterated integral. (See the indicated problem for the evaluation of the inner integral.) 17. ∫ − 1 2 ∫ 0 1 12 x 2 y 3 d y d x (See Problem 7.) 7. (A) ∫ 12 x 2 y 3 d y (B) ∫ 0 1 12 x 2 y 3 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.)
17.
∫
−
1
2
∫
0
1
12
x
2
y
3
d
y
d
x
(See Problem 7.)
7. (A)
∫
12
x
2
y
3
d
y
(B)
∫
0
1
12
x
2
y
3
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.
1.
QUESTION 1
For each of the following questions, evaluate the integral using whatever method you wish. There is
more than one way to do some of these.
2x2+ 8
() /
Hint: Consider factorising the denominator first.
dr.
3x3+4x2- 4.r
(ii) 16
Hint: Consider the difference of two squares.
dr
(ii
i) /
12-5c +7
A d)
WE
1. Find / 2(3z+ 4)² dz.
Question 3.4. Determine the following integrals
15x2
dr
Chapter 7 Solutions
Calculus for Business, Economics, Life Sciences, and Social Sciences - Boston U.
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