The expression of integral as a limit of Riemann sums of given integral 
is 4 
∑
from i=1 to i=n.
Given an integral .
We are required to express the integral as a limit of Riemann sums.
An integral basically assigns numbers to functions in a way that describes displacement, area, volume, and other concepts that arise by combining infinite data.
A Riemann sum is basically a certain kind of approximation of an integral by a finite sum.
Using Riemann sums, we have :
=∑f(a+iΔx)Δx ,here Δx=(b-a)/n
=f(x)=
⇒Δx=(5-1)/n=4/n
f(a+iΔx)=f(1+4i/n)
f(1+4i/n)=![[n^{2}(n+4i)]/2n^{3}+(n+4i)^{3}](https://tex.z-dn.net/?f=%5Bn%5E%7B2%7D%28n%2B4i%29%5D%2F2n%5E%7B3%7D%2B%28n%2B4i%29%5E%7B3%7D)
∑f(a+iΔx)Δx=
∑
=4∑
Hence the expression of integral as a limit of Riemann sums of given integral is 4 ∑ from i=1 to i=n.
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Answer:
n = -33
Step-by-step explanation:
Let n = number
Sum of a number and 9
(n+9)
is tripled
3(n+9)
the result is six less then twice the number
2n-6
3(n+9) = 2n-6
Distribute
3n+27 = 2n-6
Subtract 2n from each side
3n-2n +27 = -6
n +27 = -6
Subtract 27 from each side
n+27-27 = -6-27
n =-33
Answer:
1.18b
Step-by-step explanation:
Jacob had lunch at a restaurant and his bill was b.
Now, Jacob leaves 18% of his bill amount as a tip.
So, the tip amount at the rate of 18% of the bill amount will be 
Therefore, the total cost of Jacob for the lunch will be b + 0.18b = 1.18b. (Answer)
Answer:
508.68 or 508.7
Step-by-step explanation:
V=1/3(3.14)(9)^2(6)
(3.14)(81) x 6
(3.14)(486)
1/3(1526)
(divide by 3)= 508.68
