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

In summary, the conversation is about integrating a problem using basic integration rules and converting it to trigonometric form. The person seeking help also mentions a constant value for y and receives a hint to use the substitution u=x^2+y^2. They eventually understand the solution and express the need for more practice.
  • #1
killerfish
16
0
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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  • #2


Use the substitution u=x^2+y^2.
 
Last edited:
  • #3


sorry there is an edit.
 
  • #4


It was already clear that y is a constant. Post 2 still holds.
 
  • #5


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
 
  • #6


Correct.
 

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

What is Y^2 constant integration?

Y^2 constant integration is a mathematical technique used to solve differential equations by finding a constant value for the dependent variable, y, in terms of the independent variable, x.

How is Y^2 constant integration different from regular integration?

Regular integration involves finding the general solution to a differential equation, whereas Y^2 constant integration specifically finds a constant value for the dependent variable.

When is Y^2 constant integration used?

Y^2 constant integration is typically used when the dependent variable, y, is squared in the differential equation. It can also be used when the differential equation can be simplified to a quadratic equation.

What are some applications of Y^2 constant integration?

Y^2 constant integration can be used in a variety of fields, including physics, engineering, and economics. It can be used to model systems with exponential growth or decay, as well as in optimization problems.

Are there any limitations to Y^2 constant integration?

Yes, Y^2 constant integration may not be applicable in all cases, as it is specific to certain types of differential equations. It also may not provide a complete solution, as it only finds a constant value for the dependent variable and not the full general solution.

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