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Question Number 165183 by mathlove last updated on 27/Jan/22

Commented by Ar Brandon last updated on 27/Jan/22

(x^5 +x^2 y^3 +y^2 x^3 +y^5 )=(x^3 +y^3 )(x^2 +y^2 ) =(x+y)(x^2 −xy+y^2 )(x^2 +y^2 ) ln(...)= ln(x+y)+ln(x^2 −xy+y^2 )+ln(x^2 +y^2 ) lntegration by part with { ((u(x)=ln(...))),((v(x)=1)) :}

(x5+x2y3+y2x3+y5)=(x3+y3)(x2+y2)=(x+y)(x2−xy+y2)(x2+y2)ln(...)=ln(x+y)+ln(x2−xy+y2)+ln(x2+y2)lntegrationbypartwith{u(x)=ln(...)v(x)=1

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