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600232 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 antiderivative of a rational function.
You should carry
out the substitution completely, but you should
not go on and evaluate the antiderivative.
 7.
 (10 points each) Use a substitution to reduce each
of the following antiderivatives to an antiderivative
involving powers of trigonometric functions. Do not
attempt to go on and evaluate the antiderivative.
 (a)

 (b)
Kevin B Mcleod
3/4/2002