Pexam2 - Math 16B Practice problems for Final Exam Problem 1 Evaluate the following indefinite integrals using Substitution(a R(1 x 5 dx(b R 1 x ln

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Unformatted text preview: Math 16B: Practice problems for Final Exam Problem 1. Evaluate the following indefinite integrals using Substitution. (a) R (1- x ) 5 dx (b) R 1 x ln( x ) dx (c) R 1 1+ e x dx (d) R tan( x ) dx (e) R 3- 6 x √ x- x 2 dx Problem 2. Evaluate the following indefinite integrals using Integration by Parts. (a) R x sin(2 x ) dx (b) R ln( x ) dx (c) R cos( x ) · ln(sin( x )) dx (d) R x 2 e x dx (e) R e x sin( x ) dx Problem 3. Evaluate the following indefinite integrals using Partial Fractions. (a) R x +5 x 2 + x- 2 dx (d) R x 3- x 2- x +1 x 2- x- 2 dx (b) R x 2 +2 x- 1 2 x 3 +3 x 2- 2 x dx (e) R 2 x 3 + x 2 +3 x- 1 x 2 + x dx (c) R x 3- x +1 x 2 ( x- 1) 2 dx 1 Problem 4. (a) Find the volume of the solid generated by revolving the region bounded by y = x 2 and y = x 3 about the x-axis. (b) Find the volume of the solid generated by revolving the region bounded by y = √ x , y = 2 , and x = 0 about the x-axis....
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This note was uploaded on 06/30/2010 for the course CAL 100 taught by Professor Bill during the Spring '10 term at UC Riverside.

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Pexam2 - Math 16B Practice problems for Final Exam Problem 1 Evaluate the following indefinite integrals using Substitution(a R(1 x 5 dx(b R 1 x ln

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