char33
char33
04-04-2017
Mathematics
contestada
How am I supposed to integrate this?
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LammettHash
LammettHash
04-04-2017
[tex]6x^2-4x+1=6\left(x-\dfrac13\right)^2+\dfrac13\ge0[/tex]
which means the parabola lies above the x-axis over its entire domain. This means the area is given by
[tex]\displaystyle\int_{-1}^2(6x^2-4x+1)\,\mathrm dx=2x^3-x^2+x\bigg|_{x=-1}^{x=2}=10-(-5)=15[/tex]
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