x2_practice - Exam 2 Review Problems Math 175 - Fall 2009...

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Unformatted text preview: Exam 2 Review Problems Math 175 - Fall 2009 For each of the integrals below do the following: (a) Pick one of the following methods as a first step for evaluating the integral. (i) Substitution (ii) Parts (iii) Partial Fractions (b) Depending on your choice for (1) do the following. (i) If you chose substitution: write down your substitution. It might be u = . . .. It might be a trig substitution. (ii) If you chose parts: write down u & dv , and then compute du, and v. (iii) If you chose partial fractions: determine the form of the decomposition as in Homework 21. (c) Execute your method. (i) If you chose substitution: rewrite the integral in terms of the new variable. Do not evaluate the integral. (iii) If you chose partial fractions: determine the coefficients of the partial fraction decomposition. 1. 2. 3. 4. 5. 6. 7. ex √ dx x √ x2 dx 1 − x2 √ (ii) If you chose parts: rewrite the integral as uv − v du. Do not evaluate the integral. x dx x + 10 cos x dx 1 + sin x tan7 x sec3 xdx 1 dx − 4x − 12 x2 sin (ln x) dx x 1 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. x2 √ 1 dx 1 + x2 x3/2 ln xdx √ tan−1 x dx 1 + x2 ex cos2 xdx √ x2 − 1 dx x 1 dx +x x3 x2 + 8x − 3 dx x3 + 3x2 sin x dx 1 + x2 x2 + 2 dx x+2 x sec x tan xdx sin2 x cos5 xdx 1 dx x ln x 4x2 1 dx + 4x + 5 3x3 − x2 + 6x − 4 dx (x2 + 1) (x2 + 2) sin−1 xdx 2 ...
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This note was uploaded on 10/11/2011 for the course MATH 175 taught by Professor Staff during the Fall '08 term at Boise State.

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x2_practice - Exam 2 Review Problems Math 175 - Fall 2009...

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