Download Math 172 Quiz 4 Name:

Math 172
Quiz 4
Name:
19 Feb 2016
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1. 3 When using trigonometric substitution we discussed three basic forms of substitution. For
integrals involving the following forms, state the appropriate substitution, i.e. x = blah, and the
appropriate change of variables term, i.e. dx = stuf f .
√
(a) a2 + x2
(b)
(c)
√
√
x2 − a2
a2 − x2
2. 3 If x = 2 tan θ, use an appropriate triangle to find sin θ.
3. 4 Integrate the following using an appropriate trigonometric substitution.
Z 2 √ 2
x −3
dx
√
x
3