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Find the area of the region bounded by the curves y=x³ and y=2x² between their intersections.

User Willnx
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1 Answer

6 votes

Answer:

Hi,

answer 4/3

Explanation:

1. finding the intersections


x^3-2x^2=x^2(x-2)\\x=0\ or \ x=2

2. y=2x² is over y=x^3 between their intersections


\int\limits^0_2 {2x^2-x^3} \, dx =\Big [\[ }(2x^3)/(3) -(x^4)/(4) \Big{]}_0^2\\\\=(16)/(3)-(16)/(4) -0\\\\=(4)/(3)

User Zwo
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