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What is the exact volume of a solid that is formed by rotating the function g(x) = 3x2 + 4 about the X-axis on the -2, 1? Note: Maintain fractions if applicable.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter0: Preparing For Algebra

Section: Chapter Questions

Problem 54PRT

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Question

Volume by Integration

What is the exact volume of a solid that is formed by rotating the function
g (x) = 3x2 + 4 about the x-axis on the [-2, 1]?
Note: Maintain fractions if applicable.

With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.

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