Explore BrainMass

# Integration as the limit of a sum

Not what you're looking for? Search our solutions OR ask your own Custom question.

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

Integration as the limit of a sum (I)

Find by the method of summation the value of:-

1 1
(a) â?« x3 dx (b) â?« (ax + b) dx
0 0

that is,
Find the integral by the method of summation the values of :-

(a) integral of x3 where the range of integration is from 0 to 1.
(b) integral of (ax + b) where the range of integration is from 0 to 1.

https://brainmass.com/math/integrals/integration-as-the-limit-of-a-sum-23731

#### Solution Summary

This solution is comprised of a detailed explanation for finding the integral by the method of summation the values.
It contains step-by-step explanation for finding the integral by the method of summation the values of :-

(a) integral of x3 where the range of integration is from 0 to 1.
(b) integral of (ax + b) where the range of integration is from 0 to 1.

Solution contains detailed step-by-step explanation.

\$2.49