In Problems 43–46, reverse the order of integration for each integral. Evaluate the integral with the order reversed. Do not attempt to evaluate the integral in the original form. 43. ∫ 0 2 ∫ x 2 4 4 x 1 + y 2 d y d x
In Problems 43–46, reverse the order of integration for each integral. Evaluate the integral with the order reversed. Do not attempt to evaluate the integral in the original form. 43. ∫ 0 2 ∫ x 2 4 4 x 1 + y 2 d y d x
Solution Summary: The author explains that the reverse order of the integration is ln17.
In Problems 43–46, reverse the order of integration for each integral. Evaluate the integral with the order reversed. Do not attempt to evaluate the integral in the original form.
43.
∫
0
2
∫
x
2
4
4
x
1
+
y
2
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.
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