Question $5$

$6\mathrm{.}25$ pts

Use partial fractions to find the integral ${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{3x^3-40x^{2}114x124}{x^2-14x48}dx.$

$\frac{3}{2}{x}^{2}2x-6ln|x-8|-8ln|x-6|C$

$\frac{3}{2}{x}^{2}2x-6ln|x-8|8ln|x-6|C$

$\frac{3}{2}{x}^{2}2x6ln|x-8|8ln|x-6|C$

$\frac{3}{2}{x}^{2}2x6ln|x-8|-8ln|x-6|C$

$3x26ln|x-8|-8ln|x-6|C$