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3. Consider the solid S obtained by rotating the region defined by
the inequalities os X 51 and Osys x- x about the line *=-1.
a) Write a Riemann sum ( a sum without integrals ) which
approximates the volume of the solid S
b ) Write a definite integral which gives the volume of the slid
S .
I am not sure if I am thinking this correctly :
Os X< i means evaluate
dx
r= y
1 = (x - x 2 ) - 0 - r = ( x - x ? ) 2
X
TC( x - X ) dx
Is this integral representation
correct ?
But how do I write it as a Riemann
sum ?

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