Answer: In Exercises 3 and 4, (a) write the area under the graph of the given function
Chapter 0, Problem 4(choose chapter or problem)
In Exercises 3 and 4,
(a) write the area under the graph of the given function defined on the given interval as a limit. Then
(b) evaluate the sum in part (a), and
(c) evaluate the limit using the result of part (b).
\(y=\frac{1}{2} x^{5}+2 x^{3}\), [0,2]
(Hint: \(\sum_{i=1}^{n} i^{5}=\frac{n^{2}(n+1)^{2}\left(2 n^{2}+2 n-1\right)}{12}\))
Text Transcription:
y=1/2 x^5+2x^3
sum_i=1^n i^5=n^2(n+1)^2(2n^2+2n-1)/12
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