I am going to give you what I hope is a hint and then go work on the problem.
If/when I get the answer I will come back to you.
Hint: .The derivative of the inverse hyperbolic secant is -1/(u* sqrt(1 - u2)
Yes, you can make substitutions which will put the integrand into the form of the derivative of the inverse hyperbolic secant.
You can also get it by making the substitution u = sqrt(3) sin x. This will get you to the integrand as csc u..
Either way works...which ever way works best for you. If you are still suck, please let me know.
Added 2/28/2019
I have worked quite a while on this problem. You may already have gotten an answer in class, but here is some additional information.
Both methods I suggested above will work but the answers you get will not look the same and the difference has to do with the inverse hyperbolic secant which is not one-one. I think that which answer you will use will depend on the interval of integration...but I am not familiar enough with the hyperbolic functions to give you more information than that. I hope that helps and if I can be of additional help, please send me a message.
