In Problems 33–38, evaluate each integral. Graph the region of integration , reverse the order of integration, and then evaluate the integral with the order reversed. 35. ∫ 0 1 ∫ 0 1 − x 2 x y d y d x
In Problems 33–38, evaluate each integral. Graph the region of integration , reverse the order of integration, and then evaluate the integral with the order reversed. 35. ∫ 0 1 ∫ 0 1 − x 2 x y d y d x
Solution Summary: The author evaluates the iterated integral by graphing the region of integration and reverse the order of the integration.
In Problems 33–38, evaluate each integral. Graph the region of integration, reverse the order of integration, and then evaluate the integral with the order reversed.
35.
∫
0
1
∫
0
1
−
x
2
x
y
d
y
d
x
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.
(5)Find x if.
i. e* = 3,
ii. Inx
%3D
iv. 32-x = 27,
v. 8x+1
32.
%3D
Chapter 7 Solutions
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