How can we simplify the normalization equation for a sine wave function?

[Activeuser]

Hello, please help me with normalization problem..

f is sin(Pi x/L) between 0, L

first we use normalization formula and integrate N^2 Sin^2(pi x/L) to get N^2( L/2) Sin L/2 which equals to one ... this is my solution

in the textbook his result is N^2 (L/2)

My question is how he get rid of Sin L/2.. please explain

 

[TSny]

first we use normalization formula and integrate N^2 Sin^2(pi x/L) to get N^2( L/2) Sin L/2 which equals to one ... this is my solution

Hello, and welcome to PF!

Sin L/2 is incorrect. Check your work.

 

[Activeuser]

ooh. Thank you. I did it.
This confusion leads me to know and register at this great form.
I am happy to be here

 

[TSny]

Great! Hope you enjoy the forum.

 

[Activeuser]

Thank you.