Integrating sqr(x^2-1) w/o Sec Substitution?

[physicsjock]

Is there a way to do this integral without substituting in sec?

int sqr(x^2-1)


Ive tried a bunch of things, but the only thing that works is using sec,

Is there any other method?

 

[SammyS]

Is there a way to do this integral without substituting in sec?

int sqr(x^2-1)


Ive tried a bunch of things, but the only thing that works is using sec,

Is there any other method?

What's the problem with letting x = sec(θ) ?

Well, you can alternatively use the substitution: x = cosh(t) → dx = sinh(t) dt .