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Year 12 Methods (Unit 3 & 4) Integration

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Questions
Question 1
10970

The shaded area under the curve \(y = -x^2 + 2x + 3\) is equal to:

Region under the parabola y = -x squared + 2x + 3, shaded between its roots A downward parabola with x-intercepts at -1 and 3, y-intercept 3 and maximum at (1, 4). The region between the curve and the x-axis, from x = -1 to x = 3, is shaded. -2 -1 1 2 3 4 5 -2 -1 1 2 3 4 5 x y

\(10\dfrac{2}{3}{u^2}\)

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