Engineering, 07.09.2020 01:01 anonwarrior
Use double integral to find the area of the plane region R bounded by the curves x=y^3,x=0,x+y=2?
Answers: 3
![\int\limits^1_0 {(\sqrt[3]{x} )} \, dx +\int\limits^2_1 {(2-x)} \, dx \\\\\\\dfrac{3x\sqrt[3]{x} }{4}\bigg|^1_0+(2x-\dfrac{x^2}{2})\bigg|^2_1\\\\\\\dfrac{3}{4}\qquad +\qquad (2-\dfrac{3}{2})\\\\\\\dfrac{3}{4}\qquad +\qquad \dfrac{1}{2}\\\\\\=\dfrac{5}{4}](/tpl/images/0744/5619/9d506.png)
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Use double integral to find the area of the plane region R bounded by the curves x=y^3,x=0,x+y=2?...
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