Can you use trig substitution with this integral?

Question

abb0t · Answer

You can do anything you want whenever you want with the government shut down.

anonymous · Answer

My teacher gave us this integral on a sample exam. I solved it with trig substitution, and found the correct answer (we went over it today in class). However, I went to check my answer yesterday, and both MathWay and Wolfram Alpha say it is wrong (and both give different answers)

anonymous · Answer

arc sinh  is like a nasty logarithm, isn't it?

abb0t · Answer

That's correct. You need to factor out $\sf \color{}{\frac{1}{2}}$ from the denominator to get it in arcsine form: $\sf \color{}{\frac{1}{\sqrt{x^2+1}}}$

anonymous · Answer

why does it say sinh?

anonymous · Answer

sinh → Sine Hyperbolic

anonymous · Answer

We actually haven't gone over Hyperbolic functions

abb0t · Answer

You could always convert the hyperbolic to it's exponential form.

anonymous · Answer

Well, as that may be correct, is it still *legal* to use trig-sub with x = asec(theta) ?

abb0t · Answer

Yeah, you might get arrested.

anonymous · Answer

@abb0t  I do what I want - Gobbmint be shut down.

anonymous · Answer

Is it still shut down?

anonymous · Answer

It's been so peaceful lately.

abb0t · Answer

Government shutdown: Day 14

anonymous · Answer

FDA not gonna be happy when it comes back.