- #1

SclayP

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**So, the problem statement says that i have to determinate the Upper and Lower Sums that aproximate the area under the graph given by the next function: [tex]f(x) = x^3[/tex] in the interval[0,1] with a partition of 0,2**

**So, i preoceeded to determinate the Upper and Lower Sums but I don't come up with the righ answer (i know because i corroborated by getting the resault of the integral [itex]\int x^3\, dx[/itex] betwen 0 and 1, with my calculator)**

**P={0; 0,2; 0,4; 0,6; 0,8;1}**

[itex]L(f,P) = \sum^{5}_{i=0}[/itex]m

[itex]L(f,P) = \sum^{5}_{i=0}[/itex]m

_{i}(t_{i}-t_{i-1}) = [itex](0^3)(0,2) + (0,2^3)(0,2) + (0,4^3)(0,2) + (0,6^3)(0,2) + (0,8^3)(0,2) = 0,10[/itex]That is just plain wrong but i don't know what I am doing wrong...well i won't redact how i did the Upper sums because i guess you got the point...

Thanks.

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