# Integration as the limit of a sum

Integration as the limit of a sum (I)

Find by the method of summation the value of:-

1 1

(a) Ã¢?Â« x3 dx (b) Ã¢?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.