Choose a convenient order When convened to an iterated integral , the following double integrals are easier to evaluate in one order than the other. Find the best order and evaluate the integral. 28. ∬ R x sec 2 x y d A ; R = { ( x , y ) : 0 ≤ x ≤ π / 3 , 0 ≤ y ≤ 1 }
Choose a convenient order When convened to an iterated integral , the following double integrals are easier to evaluate in one order than the other. Find the best order and evaluate the integral. 28. ∬ R x sec 2 x y d A ; R = { ( x , y ) : 0 ≤ x ≤ π / 3 , 0 ≤ y ≤ 1 }
Solution Summary: The author explains that the given double integral can be rewritten as two types, one by writing x as first and y as second, and the other one is vice versa.
Choose a convenient orderWhen convened to an iterated integral, the following double integrals are easier to evaluate in one order than the other. Find the best order and evaluate the integral.
28.
∬
R
x
sec
2
x
y
d
A
;
R
=
{
(
x
,
y
)
:
0
≤
x
≤
π
/
3
,
0
≤
y
≤
1
}
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.
Find the volume of the parallelepiped determined by the vectors a = (3, 5, −1), ☎ = (0, 3, 1),
c = (2,4,1).
Find the area of a triangle PQR, where P = (-5,6, -1), Q = (1, -3, -2), and R = (-5, -1,4)
17. [-/1 Points]
DETAILS
MY NOTES
SESSCALCET2 6.2.050.
Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.)
du
4√3-
-4²
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SUBMIT ANSWER
18. [-/1 Points] DETAILS
MY NOTES
SESSCALCET2 6.2.051.
Evaluate the integral. (Use C for the constant of integration.)
-
49
dx
x²
+3
Need Help?
Read It
Watch It
SUBMIT ANSWER
19. [-/1 Points]
DETAILS
MY NOTES
SESSCALCET2 6.2.057.
Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.)
25+ x2
dx
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