Explore BrainMass

# Definite Integral as the Limit of a sum

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

Calculus
Integral Calculus(II)
Definite Integral as the Limit of a sum
Method of Summation
Definite Integral

It is an explanation for finding the integral by the method of summation(part 2).

Find by the method of summation the value of:

(a) &#8747; x^3dx, where the lower limit is 0 and the upper limit is 1,
i.e., integral of x^3, where the lower limit is 0 and the upper limit is 1.
(b) &#8747; (ax + b)dx, where the lower limit is 0 and the upper limit is 1,
i.e., integral of (ax + b), where the lower limit is 0 and the upper limit is 1.

See the attached file.

https://brainmass.com/math/integrals/definite-integral-as-the-limit-of-a-sum-41746

#### Solution Preview

Calculus
Integral Calculus(II)
Definite Integral as the Limit of a sum
Method of Summation
...

#### Solution Summary

This solution is comprised of a detailed explanation for finding the value of the definite integral by
using the method of summation.
It contains step-by-step explanation for the following problem:

Find by the method of summation the value of:

(a) &#8747; x^3dx, where the lower limit is 0 and the upper limit is 1,
i.e., integral of x^3, where the lower limit is 0 and the upper limit is 1.
(b) &#8747; (ax + b)dx, where the lower limit is 0 and the upper limit is 1,
i.e., integral of (ax + b), where the lower limit is 0 and the upper limit is 1.

Solution contains detailed step-by-step explanation.

\$2.49