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Finding the volume by triple integration

Find the volume using triple integralsintegral to find the volume of the solidFind the volume a solid by triple integrationUse a triple integral to find the volume of a tetrahedronVolume of solid by Cartesian, Cylindrical, & SphericalVolume and Triple IntegralsTriple Integration in vector calcHow can I create a triple integration for this questionVolume of a solid by triple integration

0

$begingroup$

Find the volume of the solid bounded by the planes $x = 0, y = 0, z = x, z = 2,$ and $y = 4– x^2$ in first quadrant?

what's the right triple integration set up for finding the volume of this?
only cartesian

integration volume

share|cite|improve this question

edited Mar 21 at 20:04

jon wick

asked Mar 21 at 19:43

jon wickjon wick

157

$endgroup$

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  $begingroup$
  Welcome to the website. Good job with the Mathjax! What have you tried? Are you able to draw a figure?
  $endgroup$
  – Shubham Johri
  Mar 21 at 19:47
  
  

  
  
  
  


• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  $begingroup$
  Thanks very much $int_0^2int_x^2int_0^4-x^2dydzdx$ This is what I've tried but I don't know if it's true or wrong
  $endgroup$
  – jon wick
  Mar 21 at 19:51
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Yes, the integral is correct.
  $endgroup$
  – Shubham Johri
  Mar 21 at 20:03
  

  
  
  
  

add a comment | 

0

$begingroup$

Find the volume of the solid bounded by the planes $x = 0, y = 0, z = x, z = 2,$ and $y = 4– x^2$ in first quadrant?

what's the right triple integration set up for finding the volume of this?
only cartesian

integration volume

share|cite|improve this question

edited Mar 21 at 20:04

jon wick

asked Mar 21 at 19:43

jon wickjon wick

157

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Welcome to the website. Good job with the Mathjax! What have you tried? Are you able to draw a figure?
  $endgroup$
  – Shubham Johri
  Mar 21 at 19:47
  
  

  
  
  
  


• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  $begingroup$
  Thanks very much $int_0^2int_x^2int_0^4-x^2dydzdx$ This is what I've tried but I don't know if it's true or wrong
  $endgroup$
  – jon wick
  Mar 21 at 19:51
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Yes, the integral is correct.
  $endgroup$
  – Shubham Johri
  Mar 21 at 20:03
  

  
  
  
  

add a comment | 

$begingroup$

Find the volume of the solid bounded by the planes $x = 0, y = 0, z = x, z = 2,$ and $y = 4– x^2$ in first quadrant?

what's the right triple integration set up for finding the volume of this?
only cartesian

integration volume

share|cite|improve this question

edited Mar 21 at 20:04

jon wick

asked Mar 21 at 19:43

jon wickjon wick

157

$endgroup$

share|cite|improve this question

edited Mar 21 at 20:04

jon wick

asked Mar 21 at 19:43

jon wickjon wick

157

share|cite|improve this question

edited Mar 21 at 20:04

jon wick

asked Mar 21 at 19:43

jon wickjon wick

157

asked Mar 21 at 19:43

jon wickjon wick

157

asked Mar 21 at 19:43

jon wickjon wick

157