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Unformatted text preview: by y = x 4 and y = 1 about the xaxis. 3. [10] Using the method of cylindrical shells, SET UP a deFnite integral that would give the volume of the solid obtained by rotating the region bounded by y = x 4 and y = 1 about the line x = 2. 4. [10 each] Evaluate each of the following integrals: a) i x 3 ln( x ) dx b) i e 3 x cos( x ) dx c) i sin 2 ( x ) cos 3 ( x ) dx d) i 1 x 2 ( x5) dx e) i 9x 2 dx f) i 1 2 + x dx 5. [10] How large should n be to guarantee that the Midpoint approximation M n for the integral i 3 1 ( x1 2 x 3 ) dx is accurate to within 0.01?...
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 Spring '10
 REMALEY
 Math

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