anonymous
  • anonymous
Calculate the area bounded by f(x)=3x, the x-axis and the vertical lines x=-1 and x=3. Sketch the region in the xy plane
Mathematics
chestercat
  • chestercat
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shadowfiend
  • shadowfiend
The area under a curve like \(f(x)\) is found by taking an integral of that function. The bounds in this case are -1 to 3, so you can say: \[A = \int_{-1}^3 f(x)dx = \int_{-1}^3 3xdx
shadowfiend
  • shadowfiend
Sorry, that's: \[A = \int_{-1}^3 f(x)dx = \int_{-1}^3 3xdx\]

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