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# FP2/3 Maths - Reduction Formula watch

1. Given that:
I(n) = the integral with limits -1 and 0 of x^n(1+x)^0.5
Where n >=0

Show that: I(n) = (-2n)/(2n+3) I(n-1)
Where n >=1
2. (Original post by RockConcert)
Given that:
I(n) = the integral with limits -1 and 0 of x^n(1+x)^0.5
Where n >=0

Show that: I(n) = (-2n)/(2n+3) I(n-1)
Where n >=1
Start by integrating by parts.
3. (Original post by EricPiphany)
Start by integrating by parts.
I've been integrating by parts and consistently get:

Then I try different things, the current attempt it:

Attachment 511383511385
Attached Images

4. (Original post by RockConcert)
I've been integrating by parts and consistently get:

Last line of this is wrong.

Then I try different things, the current attempt it:

Attachment 511383511385
3/2 = 1 + 1/2
5. (Original post by EricPiphany)
3/2 = 1 + 1/2
Yeahhhh, after that step everything was so straight forward! My silly mistakes this evening are torture...thank you so so much

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