M215 Project: Two Easy Pieces.
Section 5.1 - 10 points
Due:
Let f(x) be the piecewise-function graphed below. Multiple copies are to simplify the approximations.
![[image]](Two%20Easy%20Pieces_files/image002.jpg)
1. Approximate 
and 
, the left-endpoint and right-endpoint Riemann sum
approximations
for 
with two
subintervals.
How do you think these values compare to the actual value of the integral?
2. Now approximate compute
and 
. Which appears to be
the best approximation to the actual value
of the integral?
![[image]](Two%20Easy%20Pieces_files/image013.jpg)
3. Now approximate
compute 
and 
. Which appears to be
the best approximation to the actual value
of the integral?
![[image]](Two%20Easy%20Pieces_files/image018.jpg)
4. Now approximate
compute 
and 
. Which appears to be
the best approximation to the actual value
of the integral?
5. Can you make a
good estimate of the value of the integral as 
. What does it appear
to approach.