Math, asked by ayushsoni1703, 8 months ago

area in first quadrant between the ellipse X^2 +2Y^2 =a^2 and 2X^2+ Y^2 =a ^2​

Answers

Answered by sivayogeshs47
0

Answer:

Step-by-step explanation:

He splits the region into two parts using the intervals  [0,a/3–√]  and  [a/3–√,a/2–√] , each having its own function.

An alternative would be to consider:

8(∫a/3√0((a2−x2)/2−−−−−−−−−√−x)dx)  

The answer, expressed in  a  is:

22–√arcsin(1/3–√)a2

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