242hw4 - starting with u = cos x , dv = cos x dx . 6....

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Math 242 Homework 4 Sections 012 and 014: Due MONDAY March 7th Section 050: Due Tuesday March 8th Questions 1 to 5 should be done by hand . For questions 6 to 8, you can use Maple as much or as little as you like. 1. Evaluate Z π/ 6 0 cos 3 x dx . 2. Evaluate Z sec 3 x dx . 3. Evaluate Z x 3 x 2 + 100 dx . 4. Evaluate Z x - 9 x 2 + 3 x - 10 dx . 5. Evaluate I = Z cos 2 x dx using integration by parts with “deja vu” by
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Unformatted text preview: starting with u = cos x , dv = cos x dx . 6. Evaluate Z e 1 ln x dx , Z e 1 (ln x ) 2 dx , Z e 1 (ln x ) 3 dx , and Z e 1 (ln x ) 4 dx . 7. Evaluate Z π/ 2 cos 2 x dx , Z π/ 2 cos 4 x dx , and Z π/ 2 cos 6 x dx . 8. Show that Z 2 √ 2 1 x 2-1 dx = ln ± 1 + √ 2 √ 3 ² . 1...
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This note was uploaded on 12/07/2011 for the course MATH 242 taught by Professor Wang during the Spring '08 term at University of Delaware.

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