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Assignment 9: Applications of Integrals

积分的部分应用

积分应用练习：面积、体积、弧长、平均值

✍️ 5 题

1. The area enclosed by y = x² and y = 2x is:

2. The average value of f(x) = x² on [0, 3] is:

3. The volume of y = x³ rotated about the x-axis from x=0 to x=1 using the disk method is:

4. The arc length of y = (2/3)x^(3/2) from x=0 to x=3 is:

5. The volume using cylindrical shells of y = 1/x rotated about the y-axis from x=1 to x=2 is: