A student using the definition of the definite integral has begun to make a computation. Finish it. n 216 x² dx = lim lim %3D n-00 n3 n-00 k=1 k=1 216 n(n + 1)(2n + 1) lim n3 216 k2 lim n→00 n3 %3D n-00 6 k=1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 75E
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12. A student using the definition of the definite integral has begun to make a computation. Finish it.
п
п
216
k2
n3
x² dx
lim
lim
k=1
k=1
n
216
lim
n3
Σκ
216 n(n + 1)(2n + 1)
lim
n3
n-00
6.
k=1
II
Transcribed Image Text:12. A student using the definition of the definite integral has begun to make a computation. Finish it. п п 216 k2 n3 x² dx lim lim k=1 k=1 n 216 lim n3 Σκ 216 n(n + 1)(2n + 1) lim n3 n-00 6. k=1 II
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