integration query (1 Viewer)

[mathsbrain]

Given I_n=\int_{e^-1}^{1} (1+lnx)^n dx = 1-n(I_(n-1)) and J_n=\int_{e^-1}^{1} (lnx)(1+lnx)^n dx for n=0,1,2,3,...

show that J_n=1-(n+2)I_n for n=0,1,2,3,...

Sorry for my sloppy latex input

PS: is there a way to input latex on this forum?

 

[asianese]

Yes. Wrap your text with these tags:

[ t e x ] _____ [ / t e x ]

 

[asianese]

Given

show that for n=0,1,2,3,...

Sorry for my sloppy latex input

PS: is there a way to input latex on this forum?

.

 

[iBibah]

 

[mathsbrain]

awesome!