Exercise 4 Given the double integral: 2 |e** dxdy. a) Make a figure showing the integration area of the double integral l in the xy plane. Use this to show that the integral can be rewritten as 2 x2 I = dydx. 0 0 b) Calculate the integral I. (Hint: (ex?) = 3x²ex®)

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Chapter2: Second-order Linear Odes
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Exercise 4
Given the double integral:
4
=
e*³ dxdy.
a) Make a figure showing the integration area of the double integral l in the xy plane. Use this to show
that the integral can be rewritten as
2 x2
I =
dydx.
eta
b) Calculate the integral I. (Hint: (ex³) = 3x²ex³)
%3D
1.
Transcribed Image Text:Exercise 4 Given the double integral: 4 = e*³ dxdy. a) Make a figure showing the integration area of the double integral l in the xy plane. Use this to show that the integral can be rewritten as 2 x2 I = dydx. eta b) Calculate the integral I. (Hint: (ex³) = 3x²ex³) %3D 1.
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