Using definite integral to find the volume of the body of revolution by y = x ^ 2 + 1, y = 0, x = 0, x = 1 rotating around X axis

0 to 1 integral∫Π (2x + 1) square DX
The answer is: 2 Π
With the infinitesimal method, cut into a small cylinder, you can

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1. The problem of definite integral is to find the volume of the figure surrounded by y = x ^ 2 and y = 10 rotating around the Y axis,
2. X ^ 2 + y ^ 2 = 9, find the volume of the revolving body of the circle around x = - 4, and use definite integral to find the volume
3. Find the volume of the body of revolution generated by a circle (X-5) ^ 2 + y ^ 2 = 16 rotating around the Y axis
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