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IB MAI HL Calculus Topic 5.2 Integration (id: 32502c3ae)

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admin 发表于 2024-3-15 09:11:28 | 显示全部楼层 |阅读模式
本题目来源于试卷: IB MAI HL Calculus Topic 5.2 Integration,类别为 IB数学

[填空题]
The equation of a curve is /tcif t;b k3a(m7p- s3wr cx 5pplp2, mhstm7,akb h7. y=-$x^{3}+4 x^{2}+x-4$ . A section of the curve is shown on the diagram below, with the three x -intercepts labelled.

1. Find $\frac{\mathrm{d} y}{\mathrm{~d} x}$ = - ax$^2$+ bx+c ; a=  ,b=  ,c=  .
2. Write down the coordinates of the local maximum.
3. Write down an integral representing the area of the shaded region.
A=$\int_{1}^{4}\left(-x^{3}+a x^{2}+x-b\right) \mathrm{d} x$;a=  ,b=  .
4. Find the area of the shaded region.
A=$\frac{a}{b}$;a=  ,b=  .




参考答案:
空格1: 3空格2: 8空格3: 1空格4: 4空格5: 4空格6: 63空格7: 4


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