Splitting up the interval of integration into
subintervals gives the partition
![\left[0,\dfrac1n\right],\left[\dfrac1n,\dfrac2n\right],\ldots,\left[\dfrac{n-1}n,1\right]](https://tex.z-dn.net/?f=%5Cleft%5B0%2C%5Cdfrac1n%5Cright%5D%2C%5Cleft%5B%5Cdfrac1n%2C%5Cdfrac2n%5Cright%5D%2C%5Cldots%2C%5Cleft%5B%5Cdfrac%7Bn-1%7Dn%2C1%5Cright%5D)
Each subinterval has length
. The right endpoints of each subinterval follow the sequence

with
. Then the left-endpoint Riemann sum that approximates the definite integral is

and taking the limit as
gives the area exactly. We have

9514 1404 393
Answer:
48 minutes
Step-by-step explanation:
39% of 122 is ...
0.39 × 122 = 47.58 ≈ 48
Holly has watched about 48 minutes of the movie.
Answer:
the slope is -3, the slope is negative, the y-intercept is 0
Step-by-step explanation:
this ones are the ones that apply to the graph
Answer:
x = 3.2
Step-by-step explanation:
5x + 8 = 24
5x = 16
5+5+5+1
1 is a 1/5 or .2 of a 5
x = 3.2
So, therefore, x would be 3.2
Answer:
-974.765
Step-by-step explanation:
1.235 -976. Try to get a calculator if that helps!:)