Thread: 'Reduction Formula' problem

I'm just not sure how to go about solving this:

In= ∫(x^n).(1-x)^(3/2)dx
The integral has limits from 1 -> 0

And I need to show :

In = (2n/2n+5) I(n-1)


Thanks in advance for any help

Originally Posted by Mrhappysmile

I'm just not sure how to go about solving this:

In= ∫(x^n).(1-x)^(3/2)dx
The integral has limits from 1 -> 0

And I need to show :

In = (2n/2n+5) I(n-1)

Integrate by parts, using the fact that . Then

Originally Posted by Opalg

Integrate by parts, using the fact that . Then

Of course! I'd done exactly what you'd done but I didn't seen the simple bit i.e. dividing through by to give the answer.

Thanks