A solid S is generated by revolving the region between thex-axis and the curve y = sin x

Chapter 6, Problem 2

(choose chapter or problem)

A solid \(S\) is generated by revolving the region between the \(x\)-axis and the curve  \(y=\sqrt{\sin x}(0 \leq x \leq \pi)\) about the \(x\) axis.


(a) For  \(x\)  between 0 and \(\pi\), the cross-sectional area of  perpendicular to the \(x\)-axis at \(x\) is \(A(x)=\)


(b) An integral expression for the volume of \(S\) is


(c) The value of the integral in part (b) is

Equation Transcription:

 

Text Transcription:

S

x

y= square root sin x (0<=x<=pi)

A(x)=

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