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Use Definition 2 to Show That the Area Under the Curve

question 74

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Use Definition 2 to show that the area under the curve y=x3,0x1 is 14y = x ^ { 3 } , 0 \leq x \leq 1 \text { is } \frac { 1 } { 4 } Recall that k=1nk3=n2(n+1)24\sum _ { k = 1 } ^ { n } k ^ { 3 } = \frac { n ^ { 2 } ( n + 1 ) ^ { 2 } } { 4 }


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