MIDTERM 1 Math 252 Fall 2007
NAME:
1. [3] TRUE/FALSE: Circle T in each of the following cases if the statement is always
true. Otherwise, circle F. Let aand bbe constants.
T F Rb
af(x)−g(x)dx =Rb
af(x)dx −Rb
ag(x)dx
T F Rb
af(x)g(x)dx =Rb
af(x)dx Rb
ag(x)dx
T F R1
−1
1
x2dx =−1
x|1
−1=−1
1−−1
−1=−2
Show your work for the following problems. The correct answer with
no supporting work will receive NO credit (this includes multiple choice
questions).
2. [4] Carefully write down the first Fundamental Theorem of Calculus.
3. [4] Find the equation of the line that is tangent to the graph of y= ln xat x=ebfor
some constant b.
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