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To find the area under the graph of the function f(x) = x**3 from x = 2 to x = 5 , we use a Riemann sum. The Riemann sum is an approach to approximate the area under a curve, which in this case, can be seen as summing up the areas of rectangles or trapezoids that approximate the area under the curve.
Let's divide the interval [2, 5] into n subintervals of equal width Δx. If the points are labeled x0, x1, ..., xn where x0 = 2 and xn = 5, then Δx = (5-2)/n and xi = 2 + (iΔx).
The Riemann sum S is then given by:
S = Σi=1n f(xi-1)Δx
Substituting the function f(x) = x3 into the above formula we get:
S = Σi=1n (2 + (i-1)Δx)3Δx
As n approaches infinity, this Riemann sum approaches the exact area under the curve, also known as the definite integral from 2 to 5 of f(x) dx.

Answered by qwarrow | 2024-06-18

To approximate the area under the curve of the function f ( x ) = x 3 from x = 2 to x = 5 , you can use a Riemann sum by dividing the interval into n subintervals and calculating the sum of the areas of rectangles formed. This sum approaches the definite integral ∫ 2 5 ​ x 3 d x as n becomes large. Ultimately, this process provides a way to approximate the area under the curve accurately.
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Answered by qwarrow | 2024-09-29

Jawaban:Hmm bahasa Indonesia ya? mkay.Selamat yaa! Akhirnya lulus juga, sekarang resmi jadi alumni deh. Semoga setelah ini, kamu bisa jadi orang yang lebih keren, makin pinter, dan sukses terus ke depannya!Tuhan menyertaimu (nama dia).Penjelasan:hehe aku gatau hubungan Kaka sama orang ini gimana, jadinya yaa.. maaf kalau kesannya aneh.

Answered by anindyasasikirana00 | 2025-07-06