I was trying my hand at integrals with 2 variables... So.. my first excercise was to find out the surface area of a sphere. So, the co-ordinate system is something like this:(adsbygoogle = window.adsbygoogle || []).push({});

i] The whole co-ordinate system is mapped on the surface of a sphere.

ii] The x-axis of the sphere is like the equator of the earth.

iii] The y-axis of the sphere is like the prime meredian of the earth.

So, for the area, I used:

[tex]

A = \int^{2\pi r}_{0}dx\int^{2\pi r}_{0}dy

[/tex]

giving me the area:

[tex]

A = 4 \pi^2 r^2

[/tex]

Which is ofcourse wrong.. because if i look from the first equation, it is more like i'm calculating the area of a square lamina having lengths [itex]2 \pi r[/itex] each.

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# Integrating with 2 variables

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