. What are the most important contributions by Galileo in the history of physics? Why do you think so? How do these contributions affect your life? Your journal entry must….
Suppose the integral from 2 to 8 of g of x, dx equals 13 , and the integral from 6 to 8 of g of x, dx equals negative 3 , find the value of 2 plus the integral from 2 to 6 of g of x, dx . (4 points) 16 18 8 32
Which of the following definite integrals could be used to calculate the total area bounded by the graph of y = sin(x), the xaxis, x = 0, and x = π (4 points)  

2.  Suppose , and , find the value of . (4 points)  

3.  Evaluate the integral . (4 points)  

4.  Use your graphing calculator to evaluate to three decimal places the value of . (4 points)  

5.  (4 points)  


1.  Find the average value of f(x)=e2x over the interval [2, 4]. (4 points)  

2.  Find the velocity, v(t), for an object moving along the xaxis if the acceleration, a(t), is a(t) = 2t + sin(t) and v(0) = 4. (4 points)  

3.  Find the distance, in feet, a particle travels in its first 4 seconds of travel, if it moves according to the velocity equation v(t)= t2 + 4 (in feet/sec). (4 points)  
