Homework 1 - Name: Section: MAC 2312 Homework 1 Due January...

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Unformatted text preview: Name: Section: MAC 2312 Homework 1 Due January 31, 2012 SHOW ALL OF YOUR WORK L1-L2: Integration by Parts 1. Evaluate the indefinite integral x5 ln x dx. 1 2. Evaluate the definite integral 2 1 (ln x)2 dx. x3 2 3. Evaluate the indefinite integral x3 dx. 4 + x2 3 4. Evaluate the indefinite integral sin(ln x) dx. 4 5. Evaluate the definite integral ecos x sin(2x) dx. 0 5 L3-L4: Trigonometric Integration 6. Evaluate the indefinite integral sin3 x cos2 x dx. 6 7. Evaluate the definite integral sin2 x cos4 x dx. 0 7 8. Evaluate the definite integral /4 sec4 0 x 2 dx. 8 9. Evaluate the indefinite integral cos x + sin x dx. sin(2x) 9 10. Evaluate the indefinite integral sec4 x tan4 x dx. 10 L5-L6: Trigonometric Substitution 11. Evaluate the indefinite integral 1 + x2 dx. x 11 12. Evaluate the indefinite integral 1 - 81x2 dx. 12 13. Evaluate the indefinite integral x2 dx. (15 + 6x - 9x2 )3/2 13 14. Evaluate the indefinite integral 7x 1 - x4 dx. 14 15. Evaluate the definite integral 0 cos x 1 + sin2 x dx. -/2 15 L7-L9: Integration of Rational Functions 16. Evaluate the definite integral 2 0 x3 - x2 - 12x + 1 dx. x2 + x - 12 16 17. Evaluate the indefinite integral x2 (x 1 dx. - 1)2 17 18. Evaluate the indefinite integral 2x + 3 dx. x2 + 3x 18 19. Evaluate the indefinite integral x4 + 1 dx. x(x2 + 1)2 19 20. Evaluate the indefinite integral sin x cos2 x dx. 5 + cos2 x 20 ...
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This note was uploaded on 02/15/2012 for the course MAC 2312 taught by Professor Bonner during the Spring '08 term at University of Florida.

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Homework 1 - Name: Section: MAC 2312 Homework 1 Due January...

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