∫x^2/(a^6-x^6) dx(a>0)

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∫x^2/(a^6-x^6)dx(a>0)∫x^2/(a^6-x^6)dx(a>0)∫x^2/(a^6-x^6)dx(a>0)∫x^2/(a^6-x^6)dx=1/3∫1/(a^6-x^6)dx^3=

∫x^2/(a^6-x^6) dx(a>0)
∫x^2/(a^6-x^6) dx(a>0)

∫x^2/(a^6-x^6) dx(a>0)
∫x^2/(a^6-x^6) dx=1/3∫1/(a^6-x^6) dx^3=1/(6a^3)∫[1/(a^3-x^3)+ 1/(a^3+x^3)]dx^3
=1/(6a^3)*ln\(a^3-x^3)(a^3+x^3) \+c