Math 21B (Winter 2006)
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W15 MAT21B LECTURE 4: SUMMATION NOTATION, LIMITS, AND RIEMANN
Weve written a few times now expressions that look like f (x1 ) + f (x2 ) + . + f (xn ), and it makes sense
to introduce some notation for this:
f (xk ) = f (x1 ) + .
W15 MAT 21B LECTURE 9: CYLINDRICAL SHELLS, AND ARC LENGTH
Finding volume with cylindrical shells. Well now go over one more method for computing the volume
of a region generated by revolving a solid, referred to as the cylindrical shell