A Nasty integral -

WalkingInMud

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

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

We have a sech(u)\displaystyle sech(u) and its derivative tanh(u)sech(u)\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:
 
WalkingInMud said:
Any Ideas on how to Approach this one? ...

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

We have a sech(u)\displaystyle sech(u) and its derivative tanh(u)sech(u)\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.
 
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