Purchase Solution

# Integration as the limit of a sum

Not what you're looking for?

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.

##### 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.

Solution provided by:
###### Education
• BSc, Manipur University
• MSc, Kanpur University
###### Recent Feedback
• "Thanks this really helped."
• "Sorry for the delay, I was unable to be online during the holiday. The post is very helpful."
• "Very nice thank you"
• "Thank you a million!!! Would happen to understand any of the other tensor problems i have posted???"
• "You are awesome. Thank you"

##### Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

##### Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

##### Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

##### Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

##### Probability Quiz

Some questions on probability