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!

Printable View

- Jan 21st 2007, 04:42 AMturtlepartial 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 AMgalactus
Since the power of the numerator is greater than or equal to the power of the denominator, you must long divide first.

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

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