Part 1. Just give a short answer to each question. No need to justify your answer. Don't write more than you need. I'm looking for the right word or expression. Each problem is worth 5 points. X dx . 1. Na me two methods of integration that will allow you to evaluate I 7 x' +4 2. If you are integrating an improper rational function what is the rst thing you must do? 2. + 5 3. Write down the partial fraction decomposition for r77- (x* + 3)' 2x + 5 4. Write down the partial fraction decomposition for ( I): . x + 5. If you are integrating a rational function without needing to do long division, what can you QM) say about the relationship between degree of P(x) and the degree of Q(x). 6. Consider I_f'(x)e" dx , where f(x) can be any function you want. Using integration by parts, what is dv? 7. Consider If(x)lnx dx, where _f(x) can be any function you want. Using integration by parts, what do you pick for u ? 8. If you are making the trig substitution x : 356m? to evaluate an integral that involve a radical expression, what is inside the radical? 9. If you have to take a limit at the very last step in your integration, what type of integral are you doing? 10. If you are making the trig substitution x = 55in Qto evaluate an integral that involve a radical expression, give the triangle that will allow you to go from 8 back to I. Part 2. Show all work. Use method cover in lectures. Each problem is worth 10 points. 1 x . 11. Evaluate JW dx. You may need Itan' x a'x = {auxx. 4):1 7 7 12. Evaluate I\": 7x)e" dx. Don't distribute 93