Evaluation of reduction formula

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    Formula Reduction
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Homework Help Overview

The discussion revolves around evaluating a reduction formula for integrals, specifically focusing on the integral ∫x³2xdx with limits from 0 to 1. The context involves manipulating the given formula and understanding the steps involved in the calculation.

Discussion Character

  • Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to apply the reduction formula but encounters an issue leading to a result of zero. Some participants suggest breaking down the steps more clearly and adjusting the placement of brackets in the calculations.

Discussion Status

Participants are actively engaging with the problem, providing guidance on how to approach the calculations more effectively. There is a recognition of the potential for confusion in the steps, and some progress is noted as the original poster indicates improvement in understanding.

Contextual Notes

There is a mention of specific limits for the integrals and a focus on the manipulation of the reduction formula, which may imply constraints on the approach taken by the original poster.

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Homework Statement



Given ∫xn2xdx= 2/ln(2) -n/ln(2)∫xn-12xdx, for n≥1

find ∫x32xdx

all integrals have limits 1and 0.



Homework Equations





The Attempt at a Solution



doing this I get...

2/ln2 -3/ln2(2/ln2-2ln2)(2/ln2 -1/ln2)(2/ln2-1/ln2)

but this just gives me 0

I must be doing something wrong but I don't know what?
 
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Do each step on a different line... you've got your brackets in the wrong places.
It will help you to put k=1/ln(2) ;)
 
Last edited:
Simon Bridge said:
Do each step on a different line... you've got your brackets in the wrong places.
It will help you to put k=1/ln(2) ;)

ok yeah that helped..got it now.:)
 
Cheers. It's easy to lose track of these things.
 

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