C Evaluate each double integral in Problems 39–42. Select the order of integration carefully; each problem is easy to do one way and difficult the other. 40. ∬ R x y e x 2 y d A ; R = { ( x , y ) | 0 ≤ x ≤ 1 , 1 ≤ y ≤ 2 }
C Evaluate each double integral in Problems 39–42. Select the order of integration carefully; each problem is easy to do one way and difficult the other. 40. ∬ R x y e x 2 y d A ; R = { ( x , y ) | 0 ≤ x ≤ 1 , 1 ≤ y ≤ 2 }
Solution Summary: The author evaluates the value of the iterated integral by letting u=x2y, then its derivative is du=2xydx.
CEvaluate each double integral in Problems 39–42. Select the order of integration carefully; each problem is easy to do one way and difficult the other.
40.
∬
R
x
y
e
x
2
y
d
A
;
R
=
{
(
x
,
y
)
|
0
≤
x
≤
1
,
1
≤
y
≤
2
}
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.
For each dif erential equation in Problems 1–21, find the general solutionby finding the homogeneous solution and a particular solution.
Please DO NOT YOU THE PI method where 1/f(r) * x. Dont do that.
Instead do this, assume for yp = to something, do the 1 and 2 derivative of it and then plug it in the equation to find the answer.
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