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integration ( y^2-x^2)/ (x^2 +y^2)^2 dx + (-2xy) / (x^2 +y^2)^2 dy please give all detailed...

integration ( y^2-x^2)/ (x^2 +y^2)^2 dx + (-2xy) / (x^2 +y^2)^2 dy

please give all detailed steps

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Answer #1

Since the order of both numerator and denominator on right hand side is equal to 2, hence we need to use the substitution

Integrating both sides we get

now substituting v=y/x in the equation to get the final answer

Note - Post any doubts/queries in comments section.

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