Math Problem Statement

Set up an integral to find the volume of the solid generated by rotating the region in the 1st quadrant bounded by y=x^2 and y=4 about the x-axis.

Solution

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Math Problem Analysis

Mathematical Concepts

Integral Calculus
Volumes of Revolution
Disk Method

Formulas

Volume of revolution using disk method: V = π ∫[a,b] [R(x)]^2 dx

Theorems

Disk Method for Volumes of Revolution

Suitable Grade Level

Grades 11-12