Wetzel                                                                                                                                                                                                              Summer 2006

Math 140

Test #4

                                                                                                          Name_________________________

Show and label all work!

1. Find a general equation for f(x) given f′(x) = .f(x) = ___________________

2.  Find the exact area of the region enclosed by the following:

            y = sin 2x         y = 0    x = 0    x = /2   Area = __________________

Find the following indefinite integrals. 

3.                                                       _________________________________

4.                                                    _________________________________

5.                                                         ___________________________­______

6.                                                                     _________________________________

7.                                                             _________________________________

8.                                                           _________________________________

9.                                                   _________________________________

10.                                                          _________________________________

11.                                                                 _________________________________

Give the exact value of each of the definite integrals. 

12.                                                              _________________________________

13.                                                          _________________________________