How is integral finished? and what integral equation used?

[zqz51911]

 

[BvU]

Hello zq,
Is there a context to this question ? What is this about ? Any idea what each of the various symbols stands for ?

 

[zqz51911]

sorry for the so simple description
this is a expand F(x) with particle in a box energy eigenfuctions
F(x)=x(x-l) for 0<x<l and F(x)=0 elsewhere
psi is the wave function of ground state particle in a box equation

 

[BvU]

So at the core you need $$ \int_0^l x\, sin(ax)\; dx {\rm \quad and \quad} \int_0^l x^2 \,sin(ax)\; dx$$ (with $a = n\pi/l$) , right ?
Ever met these integrals ?

 

[zqz51911]

So at the core you need $$ \int_0^l x\, sin(ax)\; dx {\rm \quad and \quad} \int_0^l x^2 \,sin(ax)\; dx$$ (with $a = n\pi/l$) , right ?
Ever met these integrals ?

thanks,

 

[BvU]

You are welcome !