`int((x+4)dx)/(x^(2)-2x+5)`

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int(dx)/(x-x^(2)-2.5)

int(dx)/(x^(2)-4x+5)

int(4x+5)/(x^(2)+x-2)dx

"int(4x+5)/(x^(2)+x-2)dx

int(x dx)/(x^(2)+4x+5) is equal to

int(dx)/(x^2+4x-5)=

I=int(5x+4)/(x^(2)+2x+5)dx.

int((4x-5))/((2x^(2)-5x+1))dx

int(x+1)/(x^(2)+4x-5)dx