Matched Problem 4 Evaluate ∬ R ( y − 4 x ) d A , where R is the region in Example 4. Example 4 Evaluating a Double Integral Evaluate ∬ R ( 2 x + y ) d A , where R is the region bounded by the graphs of y = x , x + y = 2, and y = 0.
Matched Problem 4 Evaluate ∬ R ( y − 4 x ) d A , where R is the region in Example 4. Example 4 Evaluating a Double Integral Evaluate ∬ R ( 2 x + y ) d A , where R is the region bounded by the graphs of y = x , x + y = 2, and y = 0.
Solution Summary: The author evaluates the value of the iterated integral -7720.
Matched Problem 4 Evaluate
∬
R
(
y
−
4
x
)
d
A
, where R is the region in Example 4.
Example 4 Evaluating a Double Integral Evaluate
∬
R
(
2
x
+
y
)
d
A
, where R is the region bounded by the graphs of
y
=
x
, x + y = 2, and y = 0.
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.
MyLab Math with Pearson eText - Stand Alone Access Card - for Calculus for Business, Economics, Life Sciences & Social Sciences, Brief Version (14th Edition)
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