Question: Solid Revolution Integrate the following; 1. The area bounded by the parabola ay = x2, the x-axis, and the line x = b is revolved

Solid Revolution Integrate the following; 1. The area bounded by the

Solid Revolution Integrate the following; 1. The area bounded by the parabola ay = x2, the x-axis, and the line x = b is revolved about the x-axis. Find the volume generated. ANSWER. 1b 5a2 2. The area bounded by y = In x, x = e, and the x-axis is revolved about the x-axis. Find the volume generated. ANSWER: n(e - 2) 3. The area bounded by the curve aly = x2, the x-axis, and the line x = a revolves about Ox. Find the volume generated. ANSWER: = na3 Arc Length Solve the following: 1. Find the length of the curve y = In x from x = v3 to x = 2V2. ANSWER: 1 + =In 2 2. Find the length of one branch of the curve 9y2 = 4x3 from x = 0 to x = 3

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