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600-232 CALCULUS II SAMPLE GATEWAY TEST #2

1.
(10 points) Use the method of parts to find the antiderivative .
2.
(10 points each) Find each of the following:
(a)
(b)
(c)
3.
(10 points) Write down the form of the partial fraction decomposition of
(Do not attempt to evaluate the coefficients.)
4.
(10 points) Given that , find A and B.
5.
(10 points) If is an acute angle and , what is ?
6.
(10 points) Use a substitution to reduce to the anti-derivative of a rational function. You should carry out the substitution completely, but you should not go on and evaluate the anti-derivative.
7.
(10 points each) Use a substitution to reduce each of the following anti-derivatives to an anti-derivative involving powers of trigonometric functions. Do not attempt to go on and evaluate the anti-derivative.
(a)
(b)

Kevin B Mcleod
3/4/2002