Integral

[maxandri]

I can't solve this integral

[FONT=MathJax_Size2]∫[/FONT][FONT=MathJax_Math-italic]D[/FONT][FONT=MathJax_Main]1[/FONT][FONT=MathJax_Main]|[/FONT][FONT=MathJax_Math-italic]x[/FONT][FONT=MathJax_Main]2[/FONT][FONT=MathJax_Main]+[/FONT][FONT=MathJax_Math-italic]y[/FONT][FONT=MathJax_Main]4[/FONT][FONT=MathJax_Main]|[/FONT][FONT=MathJax_Math-italic]a[/FONT][FONT=MathJax_Math-italic]d[/FONT][FONT=MathJax_Math-italic]x[/FONT][FONT=MathJax_Math-italic]d[/FONT][FONT=MathJax_Math-italic]y[/FONT]

with D = { (x, y) | x > 1, and x/(x+1) < y < x }

I can do y^2 = v, but with polar coordinates it comes x^2/(x^2+1) < v <x^2, r^2 cosTh^2 / (1 + r^2cosTh^2) and so on and I cannot solve it!

Could you help me?


Thank you
​

 

[stapel]

I can't solve this integral

[FONT=MathJax_Size2]∫[/FONT][FONT=MathJax_Math-italic]D[/FONT][FONT=MathJax_Main]1[/FONT][FONT=MathJax_Main]|[/FONT][FONT=MathJax_Math-italic]x[/FONT][FONT=MathJax_Main]2[/FONT][FONT=MathJax_Main]+[/FONT][FONT=MathJax_Math-italic]y[/FONT][FONT=MathJax_Main]4[/FONT][FONT=MathJax_Main]|[/FONT][FONT=MathJax_Math-italic]a[/FONT][FONT=MathJax_Math-italic]d[/FONT][FONT=MathJax_Math-italic]x[/FONT][FONT=MathJax_Math-italic]d[/FONT][FONT=MathJax_Math-italic]y[/FONT]

with D = { (x, y) | x > 1, and x/(x+1) < y < x }

I can do y^2 = v, but with polar coordinates it comes x^2/(x^2+1) < v <x^2, r^2 cosTh^2 / (1 + r^2cosTh^2) and so on and I cannot solve it!

Could you help me?


Thank you​

You're getting the weird formatting above because you keep copying your original post and posting it again as a new thread.

I'm afraid the answer is unlikely to change from the first one, at least not until you reply showing some effort of your own. Sorry.

 

[pka]

I can't solve this integral

∫D1|x2+y4|adxdy

with D = { (x, y) | x > 1, and x/(x+1) < y < x }

I can do y^2 = v, but with polar coordinates it comes x^2/(x^2+1) < v <x^2, r^2 cosTh^2 / (1 + r^2cosTh^2) and so on and I cannot solve it!

I doubt that any of us can solve it because as posted it is totally un-readable.
Why don't you at least try to make it readable?