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## Homework Statement

Integral of dx/[(x

^{2}- 2x + 2)

^{2}]

## Homework Equations

Trig substitution rules:

for expression sqrt(a

^{2}- x

^{2})

make x = asin(t) with -(pi/2)

__<__t < (pi/2)

for sqrt(x

^{2}- a

^{2})

make x = asec(t) with 0

__<__t < (pi/2)

and

for sqrt(a

^{2}+ x

^{2})

make x = atan(t) with -(pi/2)

__<__t < (pi/2)

## The Attempt at a Solution

multiply out to get

integral dx/(x

^{4}- 4x

^{3}+ 8x

^{2}- 8x + 4)

...I'm really at a loss for what to do next. Any help?