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Well, assuming that x ∈ R and assuming that by "sum" you mean the sum of the area under curve and above the line y=0, and that the term you are giving is a function where f(x) = 10x - 62, then..

f(x) = 10x - 36

∴∫f(x)dx = 5x2 - 36x + C

Now, if you know the range in which you want this area, you can say:

a

∫f(x)dx = 5a2 - 36a - 5b2 + 36b

b

But I'm guessing that this isn't a calculus question at all, and that you should probably go do your own homework.

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15y ago

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