Integrate Surface Integral w/ Jacobian Transformation - Help Needed

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SUMMARY

The discussion revolves around integrating the expression (b^2*c^2*Cos[x]^2*Sin[y]^4 + a^2*c^2*Sin[y]^4*Sin[x]^2)^(1/2) with respect to y over the interval y=0 to Pi. The user initially considered using a Jacobian Transformation to simplify the integration process. However, they later realized a misreading of the exponents in the integral, which led to resolving the issue independently. The conversation highlights the importance of careful interpretation of mathematical expressions in integration tasks.

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JasonRox
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Everything was going fine until I bumped into this...

(b^2*c^2*Cos[x]^2*Sin[y]^4 + a^2*c^2*Sin[y]^4*Sin[x]^2)^(1/2)

...integrate that with respect to y, for the boundaries y=0..Pi.

A Jacobian Transformation would be a good start, but I have no idea what functions I would use to simplify that in such a way to make it easier.

Any hints would be great.
 
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Nevermind I got it.

I did a little mistake. I miss read the exponents of the previous integral.

Thanks for stopping by though.
 

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