## Quiz Information

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Math 252 Quiz 1
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Name--=--)(?=-:1r-----
Please work the problems below in a neat, organized manner. Show enough detail for me to follow you
solution. Thanks.
1. Use a Riemann sum of four subintervals where x7 is the midpoint of the ith subinterval to approximate
the definite integral 1
3
.!. dx ~ ~ ~J't Q/'4. " ''i
I x \ . ,. . \ . , A'/.. :. .1.
~'L 'I. ~ ,~ "1-
~
2. Let f(x) = J5 In(t) dt. Find f'(x).
eX
= - \ ..... ~V\lr)~l -=-==>~' (tl; -~ .. (9! '), :". <2.... ':. ( "1--<2.. ~1
"i
~ 1
2
2x
2
-3x+l
3. Use the evaluation theorem (FTC II) to find th~value of I x
2
dx
\~ ~t ~
.l 2. -~ '" ;".l't. ~ \ l-~ + 1..1. .\ 't
,
~ 2-~(i~1--~\-(\.-~
= ~ ~-~9'4\'LJ t;:= Q .. Uof,
4. Find the family of antiderivatives given by 5 cos x - Tx dx.
\ 5 c~~ ~-;'l c:A~ = 5 ~/~ c.....
j ~~ ~
5. A population of flies is increasing at a rate of 2t2 + 4 flies per hour over the time interval 0 ...

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