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.
Learn more about integral at brainly.com/question/27419605
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Answer:
radius = 5
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here r² = 25 ( take the square root of both sides )
r =
= 5
Answer:
<em>Well, 375 is a composite number.
</em>
<em>Prime factorization: 375 = 3 x 5 x 5 x 5, which can be written 375 = 3 x (5^3)
</em>
<em>The exponents in the prime factorization are 1 and 3.</em>
<em>Factors of 375: 1, 3, 5, 15, 25, 75, 125, 375.
</em>
<em>Factor pairs: 375 = 1 x 375, 3 x 125, 5 x 75, or 15 x 25. </em><em>Good Luck!</em>
Answer:
p = 18
Step-by-step explanation:
4(p-7) = 44
The operations in order are to distribute first, 4p - 28 = 44
Isolate the variable, 4p = 72
and divide for the answer, p = 18
P stands for pictures, the number of pictures that can be saved to your photo stream at once is 18.
Answer:
i think the answer is 0=0