### Home > CALC3RD > Chapter Ch7 > Lesson 7.2.3 > Problem 7-83

7-83.

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

To make this easier, factor the

The

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.