Name:
Math 106C: Fall 2012
Quiz 1: September 18
Please write your final answer in the space provided. Correct answers accompanied by incorrect or incom-
plete work will not receive full credit. Good Luck!
1. Use the method of substitution to compute Z4
1
e1+√x
√xdx.
(You may either leave your answer simplified with e’s in it or you can give a decimal approximation.)
(1)
2. Let I=Zb
a
f(x)dx, where fis positive and concave up over the interval [a,b]. Indicate whether, for
all n≥1, the statement must be true, cannot be true, or may be true.
(a) Rn≤I(2a)
(b) Tn≤I(2b)
OVER
