Math 2b: Midterm Sample Worksheet Page 3

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f (x)  x
2
3. a) (5 points) Estimate, using Riemann sums, the area under the graph of
and above
x 1
x  4
the x-axis from
to
by using three approximating rectangles and right-hand endpoints.
4
b) (10 points) Find
2
by using the definition of the definite integral.
x
dx
1
1
4. (5 points) Find
g'(x)
if
.
g
(
x
)
cos
d
x

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