Question 1
The curves $y = 3x - x^2$ and $y = x$ intersect at $x = 0$ and $x = 2$. Calculate the area of the region enclosed between the two curves.
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Mathematical Methods · Unit 4 · Further integration · Applications of integration
Calculate the area between curves, with and without technology.
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Question 2
The region enclosed by the curves \( y = x^2 + 1 \) and \( y = 5 - x \) is shown below. State the definite integral expression that represents the area of this region, and identify the values of the limits of integration.
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