Use the method of cylindrical shells to find the volume generated by rotating the region bounded...
Question:
Use the method of cylindrical shells to find the volume generated by rotating the region bounded by {eq}y = sin(x^2){/eq} and {eq}x = rad(\frac{\Pi }{2}){/eq} in the first quadrant about the {eq}y{/eq}-axis. Graph the volume.
Definite Integrals:
Following the method of definite integral, we can find the value of many quantities as it is related to the solution of the definite integral and its set up. Now for the volume calculations, the shell method is mostly used.
Answer and Explanation: 1
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The graph of the three curves are plotted using the graphing utility and we see that the common region is there.
The common region is shown in...
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Definite Integrals: Definition
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Chapter 12 / Lesson 6
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A definite integral is found as the limit between a line graphed from an equation, and the x-axis, either positive or negative. Learn how this limit is identified in practical examples of definite integrals.
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