Area between a parabola and a line

EasyCalculus~3m

What is the area of the region enclosed between the curves y=x2y = x^2 and y=2xy = 2x? Give a decimal to four places.

Show hints (2)+
  1. First find where x2=2xx^2 = 2x - those roots are your integration limits.
  2. On (0,2)(0,2) the line is on top; integrate 02(2xx2)dx\int_0^2 (2x - x^2)\,dx.

Answer

Reveal answer →

1.3333 (± 0.001)

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