True-False Quiz; Ch. 4-5

These are just for practice and don't affect your grade. I'm assuming you've read over the text (and especially the thms) in Edwards and Penney, Chs 4.3 thru 5.2 and 5.7. 


True False. If F and G are two antiderivatives of f then they differ by a constant.

True False. Rolle's Thm is mainly used to calculate derivatives.

True False. An antiderivative of ln(x) is 1/x.

True False. If f is a polynomial, then it has exactly one antiderivative whose graph contains the origin.

True False. If f(2)=f(3) then there is a point c Î (2,3) where f¢(c)=0.

True False. If F is an antiderivative of an antiderivative of f, then F ¢¢(x)=f(x).

True False. òex2 x  dx can be solved easily by the substitution u=x2.

True False. òex2  dx can be solved easily by the substitution u=x2.

True False. If f is differentiable and f(2)=f(3) then there is a point c Î (2,3) where f¢(c)=0.

True False. The area over the interval [2,3] and under x3 is the definite integral ò23 x3 dx.


File translated from TEX by TTH, version 3.05. On 13 Apr 2002, 02:08. Written by S.Hudson

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