Can anyone help me solve: the integral from 5 to infinity of: 7/((n^2)-16)

If you can just solve the integral that would be great! I can do the limit to infinity from there....I am having a lot of trouble with this one.

Thank you!!

Printable View

- Apr 9th 2008, 10:18 PMamayaIntegration: calc2
Can anyone help me solve: the integral from 5 to infinity of: 7/((n^2)-16)

If you can just solve the integral that would be great! I can do the limit to infinity from there....I am having a lot of trouble with this one.

Thank you!! - Apr 9th 2008, 11:14 PMo_O
$\displaystyle \int_{5}^{\infty} \frac{7}{n^{2} -16} dn = \int_{5}^{\infty} \frac{7}{(n-4)(n+4)} dn$

The trick is to split the expression into partial fractions, i.e.

$\displaystyle \frac{7}{(n-4)(n+4)} = \frac{A}{n-4} + \frac{B}{n + 4}$

Solve for A and B and the integral should be easier to evaluate.