A Nasty integral -

[WalkingInMud]

Any Ideas on how to Approach this one? ...

\(\displaystyle \int\sqrt{[1-sech(u)]^{2}+ [-tanh(u)sech(u)]^{2}}du\)

We have a \(\displaystyle sech(u)\) and its derivative \(\displaystyle -tanh(u)sech(u)\) and this suggests some sort of substitution maybe, but the radical makes it a bit nasty for Me.

Any Ideas? ...Thanks Heaps, :shock:

 

[Deleted member 4993]

Any Ideas on how to Approach this one? ...

\(\displaystyle \int\sqrt{[1-sech(u)]^{2}+ [-tanh(u)sech(u)]^{2}}du\)

We have a \(\displaystyle sech(u)\) and its derivative \(\displaystyle -tanh(u)sech(u)\) and this suggests some sort of substitution maybe, but the radical makes it a bit nasty for Me.

Any Ideas? ...Thanks Heaps, :shock:

that suggests substitution of:

x = sech(u)

show us what do you get.