Integrate 4x^2+2: Solve for x=3 to x=1 - 44/3

  • Context: Undergrad 
  • Thread starter Thread starter winston2020
  • Start date Start date
  • Tags Tags
    Integration
Click For Summary

Discussion Overview

The discussion revolves around the definite integral of the function 4x² + 2, evaluated from x = 1 to x = 3. Participants are sharing their calculations and checking each other's work.

Discussion Character

  • Mathematical reasoning

Main Points Raised

  • One participant presents their calculation of the integral, arriving at the result of 44/3.
  • Another participant agrees with the initial calculation but emphasizes the importance of correct arithmetic.
  • A third participant also expresses agreement with the calculation, noting a boost in morale from the positive feedback.
  • A later post suggests that there is an error in the initial calculation, claiming a different result of 116/3.

Areas of Agreement / Disagreement

There is no consensus on the final result, as one participant agrees with the initial calculation while another claims it is incorrect, leading to competing views on the correct answer.

Contextual Notes

Participants have not resolved the discrepancies in their calculations, and there may be missing steps or assumptions in the arithmetic process.

winston2020
Messages
35
Reaction score
0
Hi, I've got to solve for: \int\stackrel{3}{1}(4x2+2)dx

This is what I've done:

= [ (4/3)x3 + 2x ]\stackrel{3}{1}
= [ (4/3)(3)3 + 2(3) ] - [ (4/3)(1)3 + 2(1) ]
then I solved...

= 44/3

Is that correct at all?
 
Physics news on Phys.org
looks good to me! If you have done the arithmetic correctly of course!
 
sutupidmath said:
looks good to me! If you have done the arithmetic correctly of course!

Awesome! My morale just sky rocketed...

By the way, sorry for the bad latex graphic thing... I'm having a hard time figuring that out.
 
\int_{1}^3 (4x^2+2)dx
 
Your math looks good, but you made an error in your calculation. I'm getting 116/3.
 

Similar threads

  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 27 ·
Replies
27
Views
3K
  • · Replies 17 ·
Replies
17
Views
3K
  • · Replies 4 ·
Replies
4
Views
4K