Let R be the region enclosed by the graphs of y = x³, y = x², and the line x = 4. (a) Sketch the region R. Compute the area of R using the definition of a definite integral. You may use the following: n(n + 1) n п(п +1)(2n + 1) 2 Σ k2 + u)u, 2 6. k=1 k=1 k=1 =WI

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Let R be the region enclosed by the graphs of y = x³, y = x², and the line x = 4.
(a) Sketch the region R. Compute the area of R using the definition of a definite integral. You may use the
following:
n
n
п(п + 1)
k
Σ
n(n +1)(2n + 1)
k =
Σ
k
(n+1)
2
6.
k=1
k=1
k=1
WI
Transcribed Image Text:Let R be the region enclosed by the graphs of y = x³, y = x², and the line x = 4. (a) Sketch the region R. Compute the area of R using the definition of a definite integral. You may use the following: n n п(п + 1) k Σ n(n +1)(2n + 1) k = Σ k (n+1) 2 6. k=1 k=1 k=1 WI
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