Integral Issue (Y-Axis) Solve for Volume

  • Thread starter Thread starter 1joey1
  • Start date Start date
  • Tags Tags
    Integral Volume
Click For Summary
SUMMARY

The discussion centers on solving the integral for volume using the equation V = π ∫ from 0 to 18 of (1/4)(19 - y)² dy. The user initially calculated the volume as 243/2 π but expressed difficulty in integrating the equation. Participants suggested two methods for integration: foiling the expression or using substitution, emphasizing the importance of the power antidifferentiation rule for successful computation.

PREREQUISITES
  • Understanding of integral calculus
  • Familiarity with the power antidifferentiation rule
  • Basic knowledge of volume calculation using integrals
  • Experience with substitution and algebraic manipulation
NEXT STEPS
  • Practice integration techniques, focusing on substitution methods
  • Review the power antidifferentiation rule in detail
  • Explore examples of volume calculations using integrals
  • Investigate the process of foiling expressions in integrals
USEFUL FOR

Students studying calculus, particularly those struggling with integral calculations and volume problems, as well as educators looking for effective teaching strategies in integral calculus.

1joey1
Messages
5
Reaction score
0
Integral Issue (Y-Axis) Solve for Volume :)

Homework Statement


[PLAIN]http://img88.imageshack.us/img88/7091/unled4mo.jpg

Homework Equations



V=
pi \int ^{18}_{0} 1/4 (19-y)^{2}dy

The Attempt at a Solution



I've tried it a couple times, gotten 243/2 Pi




Any and all help would be much appreciated :)

I'm really having trouble integrating the equation above, I am absolutely terrible with integrals so any help with that would be ideal
 
Last edited by a moderator:
Physics news on Phys.org


There are two ways to integrate this (I'm not sure what would be easier for you). Try foiling out your expression or using a substitution. Can you be more specific as to what you are having trouble with?

You will certainly need to recall the power antidifferentiation rule for this problem.
 

Similar threads

  • · Replies 9 ·
Replies
9
Views
2K
Replies
3
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 20 ·
Replies
20
Views
3K
Replies
20
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
Replies
4
Views
3K
  • · Replies 6 ·
Replies
6
Views
3K