- #1

- 7

- 0

## Homework Statement

[tex] \int\frac{1}{t^4+16}\,dt [/tex]

## Homework Equations

Various integration formulas. I am pretty stuck.

## The Attempt at a Solution

I have tried various substitutions, with no success. I tried t^2 = 4u, hoping to get it into the form 1/(u^2+1) so I could use the arctan formula, but then du/dt = t/2 and so I don't have an equivalent expression when I substitute.

I have tried various other substitutions with no better luck. If anyone has a suggestion, I would be so grateful. This is the only one from this set I haven't been able to solve.

Thanks!

Brett