The integral of the function \(\frac{x^8}{x^2 + 26x + 48}\) does not have a faster solution than using long division followed by partial fractions. Participants in the discussion confirmed that despite attempts to find a simpler method, no alternative approach exists. The equation can be factored into \(\frac{x^8}{x^2 + 26x + 48} + \frac{x}{x^2 + 9}\), but this does not simplify the integration process.
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thharrimw said:T know my anwser is right becose i checked it but dose anyone know a faster way to find the integral of x^8
x^2+26x+48
other than long division and then partial fractions?
HallsofIvy said:You mean
\frac{x^8}{x^2+ 26x+ 48}
(it looked like a polynomial to me!)
No, there is not a simpler or faster way to do that.