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5/2 (b) fcsc² x dx 77/

5/2 (b) fcsc² x dx 77/

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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(b) \[\int_{\frac{\pi}{6}}^{\frac{\pi}{2}} \csc^2 x \, dx\] This mathematical expression is an integral that requires evaluating the definite integral of \(\csc^2 x\), or cosecant squared of \(x\), from \(\frac{\pi}{6}\) to \(\frac{\pi}{2}\). The integral symbol indicates the calculation of the area under the curve \(y = \csc^2 x\) between these two bounds on the \(x\)-axis.
Transcribed Image Text:(b) \[\int_{\frac{\pi}{6}}^{\frac{\pi}{2}} \csc^2 x \, dx\] This mathematical expression is an integral that requires evaluating the definite integral of \(\csc^2 x\), or cosecant squared of \(x\), from \(\frac{\pi}{6}\) to \(\frac{\pi}{2}\). The integral symbol indicates the calculation of the area under the curve \(y = \csc^2 x\) between these two bounds on the \(x\)-axis.
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