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7-83.

The limit below represents a definite integral. Fill in the blanks: Homework Help ✎

       

To make this easier, factor the out of the limit.
The will be factored out of the integral as well.
We will now write all -terms as -terms.

Find :

Observe that: 

...so 

Find the integrand:
is a variable. So find the part of the sum that changes:

So the integrand must be .

Find the bounds:
Look at the original sum.