What is the integration rule for a constant y^2?

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SUMMARY

The integration of a constant \( y^2 \) can be approached using the substitution method, specifically \( u = x^2 + y^2 \). In this case, since \( y \) is treated as a constant, the integration simplifies significantly. The discussion emphasizes the importance of recognizing constants in integration problems and suggests that further practice is necessary for mastering these concepts.

PREREQUISITES
  • Understanding of basic integration rules
  • Familiarity with substitution methods in calculus
  • Knowledge of constants in mathematical expressions
  • Basic algebra skills for manipulating equations
NEXT STEPS
  • Practice integration problems involving constants
  • Study substitution techniques in calculus
  • Explore advanced integration methods such as integration by parts
  • Review trigonometric identities and their applications in integration
USEFUL FOR

Students learning calculus, mathematics educators, and anyone seeking to improve their integration skills, particularly with constant terms.

killerfish
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Hi,

Please help me on this. I do not how to start on this integration, so i simply apply basic integration rule. Usually, there is a formulas sheet for me to convert this alike question to trigo form(after integrate) but this one seem different.

edited: y^2 is const

The Attempt at a Solution


fea.GIF


Thanks
 
Last edited:
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Use the substitution u=x^2+y^2.
 
Last edited:


sorry there is an edit.
 


It was already clear that y is a constant. Post 2 still holds.
 


Cyosis said:
It was already clear that y is a constant. Post 2 still holds.
I think i got it. Thanks for the hint. I guess I really need more practice.

fea.GIF
 


Correct.
 

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