∫1/(x(a+X^n)dx(a为常数,n>0)=?

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∫1/(x(a+X^n)dx(a为常数,n>0)=?∫1/(x(a+X^n)dx(a为常数,n>0)=?∫1/(x(a+X^n)dx(a为常数,n>0)=?1/(x(a+x^n))=x^(n-1)/(

∫1/(x(a+X^n)dx(a为常数,n>0)=?
∫1/(x(a+X^n)dx(a为常数,n>0)=?

∫1/(x(a+X^n)dx(a为常数,n>0)=?
1/(x(a+x^n))=x^(n-1)/((x^n)(a+x^n))=ax^(n-1)(1/x^n-1/(a+x^n)
∫1/(x(a+X^n)dx=a∫x^(n-1)(1/x^n-1/(a+x^n)dx=a/n∫(1/x^n-1/(a+x^n)d(x^n)
=a/n(nlnx-ln(a+x^n)