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Calculus  II                                                   Quiz #3                                                  February 26, 2003

Name____________________               R.  Hammack                                                   Score ______
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(1) Use the Fundamental Theorem of Calculus to evaluate the following integrals. Simpify your answer as much as possible.

(a)  ∫_ (-3)^0 (x^2 - 4x + 7) dx =


(b)   ∫_0^(π/4) sec^2(x) dx =

(c)  ∫__0^(1/2^(1/2)) 1/(1 - x^2)^(1/2) dx =


(2)  Find the area of the region under the graph of   y = 1/x^2 between   x = 1  and   x = 2.

 




(3) Suppose F(x) = ∫_1^x (t + 3)^(1/2)/cos(4t) dt .   Find F ' (x)