Integrate (e^2t+e^-2t+2)^(1/2) w.r.t t - Step by Step Guide

[akoska]

For part of a problem, how would I integrate:

(e^2t+e^-2t+2)^(1/2) with respect to t

I have no idea..., but I've tried integration by parts to start...

 

[ziad1985]

can you transform e^2t+e^-2t+2 into a perfect square?

 

[akoska]

Ok, i see now. Thanks.

I have another problem now... I found the solution to be a=exp(t)-exp(-t) and I need to find the inverse of a. Taking the ln of each side didn't help at all.

 

[tim_lou]

multiply by exp(t) and bam you got a quadratic!