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

AI Thread Summary
The integration of a constant like y^2 can be approached using basic integration rules. Since y is treated as a constant, the integration simplifies significantly. A suggested substitution is u = x^2 + y^2 to facilitate the process. The discussion emphasizes the importance of practice in mastering integration techniques. Overall, understanding the treatment of constants is key to solving such integration problems effectively.
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
 
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Use the substitution u=x^2+y^2.
 
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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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