The limit below represents a definite integral. Fill in the blank:
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To make this easier, factor the 6 out of the limit.
The 6 will be factored out of the integral as well.
We will now write all n-terms as x-terms.
Find the integrand:
x is a variable. So find the part of the sum that changes:
So the integrand must be f(x) = x + 3.
Find the bounds:
Look at the original sum.