Calculus II 
Quiz #2 
February 22, 2002
R.  Hammack 
Score ______

(1)   Find the following definite integrals by analyzing the graph of the integrand. Be sure to include a sketch of the graph and indicate how it gives your answer.

(a)  [Graphics:Images/quiz2_gr_1.gif]

(b)   [Graphics:Images/quiz2_gr_4.gif]


(c)  [Graphics:Images/quiz2_gr_8.gif]

(2)  The expression   [Graphics:Images/quiz2_gr_10.gif][Graphics:Images/quiz2_gr_11.gif]   represents a definite integral over the interval [3, 5].   Write the definite integral. (You do not need to find its value.)  


(3) Suppose  f  is a function for which [Graphics:Images/quiz2_gr_13.gif]= 5   and [Graphics:Images/quiz2_gr_14.gif]= 9.   

(a) [Graphics:Images/quiz2_gr_17.gif]

(b)  [Graphics:Images/temp_gr_1.gif]

(4) Find [Graphics:Images/quiz2_gr_19.gif]    if  [Graphics:Images/quiz2_gr_20.gif]   and   [Graphics:Images/quiz2_gr_21.gif]