Problem 1 15 pts Compute each of the indefinite integrals...

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UCLA id: Name: Math 31b Spring 2014 First Midterm -PRACTICE- Problem Points Grade 1 15 2 15 3 15 4 10 5 20 6 25 Total 100 Write as neatly and clearly as possible. Feel free to write down the name of a lemma or a theorem that you are using, it could get you partial credit in case you make a computational error (but also: don’t make computational errors). Cheat sheets, cell phones, calculators and abaci are not allowed. You do not need to simplify the final expression of your solution, except in the cases where it is explicitly noted. For each question, place your final answer inside a box.
Problem 1. 15 pts Compute each of the indefinite integrals below. a) Z 2 e 3 x - 5 e 2 x dx b) Z 55 x - 1 dx c) Z sin x - 1 p 2 dx Problem 2. 15 pts Compute the derivative of every given function f ( x ) a) f ( x ) = log | x 4 +1 | b) f ( x ) = arcsin( e - x 2 ) c) f ( x ) = tanh( x ) d) f ( x ) = log 3 |

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