Griffiths QM 1.8 Solution: Expectation Values For Exponential With Absolute Value!

In this video I will show you to solve problem 1.8 as it appears in the 3rd edition of Griffiths Introduction to quantum mechanics. The problem states: Consider the wave function Psi(x,t)=Ae^(-lambda*|x|-i*omega*t)
a) Normalize the wavefunction
b) determine the expectation values of x and x^2
c) Find the standard deviation and sketch it

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My name is Nick Heumann, I am a recently graduated physicist. I love to teach physics, so I decided to give YouTube a try. English is not my first language, but I hope that you can understand me well enough regardless.
▬ Contents of this video ▬▬▬▬▬▬▬▬▬▬
00:00 Introducing the Problem
00:45 a) Normalizing the wave function
06:40 b) Finding the expectation value of x
08:25 b) Finding the expectation value of x^2
13:50 c) Finding the Uncertainty and sketching
16:50 c) Finding probability of being in outer region
19:23 Please Support me on Patreon!