(3x2 + 2x + 7x3) + (10x2 + 6x + 9)
2 answers:
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Yes because 6×6 is 36 and 9×4 is 36.
the blue shows who will get the free apple juice and the red the free popcorn the last one is the 36th person
the blue shows who will get the free apple juice and the red the free popcorn the last one is the 36th person
Split up the interval [2, 5] into 
equally spaced subintervals, then consider the value of 
at the right endpoint of each subinterval.
The length of the interval is
, so the length of each subinterval would be 
. This means the first rectangle's height would be taken to be 
when 
, so that the height is 
, and its base would have length 
. So the area under over the first subinterval is 
.
Continuing in this fashion, the area under over the 
th subinterval is approximated by 
, and so the Riemann approximation to the definite integral is
and its value is given exactly by taking
. So the answer is D (and the value of the integral is exactly 39).
The length of the interval is
Continuing in this fashion, the area under
and its value is given exactly by taking