# Long integral

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
Homework Helper
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?

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.

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.

yes the actual equation could be factored to $$\frac{x^8}{x^2+ 26x+ 48}+\frac{x}{x^2+9}$$