Find the area between the curves y = x² and y=-2x²-2x. Round to 2 decimal places.
Question
Solution 1
To find the area between the curves y = x² and y = -2x² - 2x, we first need to find the points of intersection. We do this by setting the two equations equal to each other and solving for x:
x² = -2x² - 2x
Combine like terms:
3x² + 2x = 0
Factor out an x:
x(3x + 2) = 0
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