# partial fractions

• Jan 21st 2007, 04:42 AM
turtle
partial fractions
Use partial fractions to evaluate the integral.

1. ∫(s cubed)ds / (s squared + 4)

2. ∫(5x squared) dx / (x squared + x + 1)

Thanks for any help!
• Jan 21st 2007, 04:49 AM
galactus
Since the power of the numerator is greater than or equal to the power of the denominator, you must long divide first.

$\frac{s^{3}}{s^{2}+4}=s-\frac{4s}{s^{2}+4}$

$\frac{5x^{2}}{x^{2}+x+1}=5-\frac{5(x+1)}{x^{2}+x+1}$