SOLUTION: Summation: i=1 to 1000 (i^(1/3)) Is this approximately equal to the integral: 1 to 1000 (x^(1/3))dx?

Question 438696: Summation: i=1 to 1000 (i^(1/3))
Is this approximately equal to the integral: 1 to 1000 (x^(1/3))dx?
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Note that if we were to approximate the integral , we can use 1000 rectangles of width 1, and sum from the right-hand endpoints. This approximation is actually equal to , since the base of each rectangle is 1 and the height is x^(1/3).

According to Wolfram Alpha,

(rounded to two decimal places)
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