Find the value of ‚Äö√Ñ√∂‚àö‚Ä†¬¨¬•‚Äö√Ñ√∂‚àö‚Ä†¬¨¬• x‚Äö√Ñ√∂‚àö√ñ‚àö√´x2 + y2 dxdy$

Question

TuteeHUB · Accepted Answer

NA

TuteeHUB · Answer

[ytan(-1) (y)- 1‚Äö√Ñ√∂‚àö√ñ‚àö√´2 ln‚Äö√Ñ√∂‚àö√ñ¬¨‚àû(1+y2 )].

TuteeHUB · Answer

x [ytan(-1) (y)- 1‚Äö√Ñ√∂‚àö√ñ‚àö√´2 ln‚Äö√Ñ√∂‚àö√ñ¬¨‚àû(1+y2 )].

TuteeHUB · Answer

y [xtan(-1) (x)- 1‚Äö√Ñ√∂‚àö√ñ‚àö√´2 ln‚Äö√Ñ√∂‚àö√ñ¬¨‚àû(1+x2 )].

TuteeHUB · Answer

x [ytan(-1) (y)- 1‚Äö√Ñ√∂‚àö√ñ‚àö√´2 ln‚Äö√Ñ√∂‚àö√ñ¬¨‚àû(1+y2 )].

1.	Find the value of ‚Äö√Ñ√∂‚àö‚Ä†¬¨¬•‚Äö√Ñ√∂‚àö‚Ä†¬¨¬• ^x‚Äö√Ñ√∂‚àö√ñ‚àö√´_{x² + y²} dxdy$
A.	[ytan<sup>(-1)</sup> (y)- <sup>1</sup>‚Äö√Ñ√∂‚àö√ñ‚àö√´<sub>2</sub> ln‚Äö√Ñ√∂‚àö√ñ¬¨‚àû(1+y<sup>2</sup> )].
B.	x [ytan<sup>(-1)</sup> (y)- <sup>1</sup>‚Äö√Ñ√∂‚àö√ñ‚àö√´<sub>2</sub> ln‚Äö√Ñ√∂‚àö√ñ¬¨‚àû(1+y<sup>2</sup> )].
C.	y [xtan<sup>(-1)</sup> (x)- <sup>1</sup>‚Äö√Ñ√∂‚àö√ñ‚àö√´<sub>2</sub> ln‚Äö√Ñ√∂‚àö√ñ¬¨‚àû(1+x<sup>2</sup> )].
D.	x [ytan<sup>(-1)</sup> (y)- <sup>1</sup>‚Äö√Ñ√∂‚àö√ñ‚àö√´<sub>2</sub> ln‚Äö√Ñ√∂‚àö√ñ¬¨‚àû(1+y<sup>2</sup> )].
Answer» E.

Find the value of ‚Äö√Ñ√∂‚àö‚Ä†¬¨¬•‚Äö√Ñ√∂‚àö‚Ä†¬¨¬• ^x‚Äö√Ñ√∂‚àö√ñ‚àö√´_{x² + y²} dxdy$