Evaluation of reduction formula

In summary, the conversation involves solving an integral and finding the value for a certain limit. The steps involved in the solution are discussed, including the use of a variable substitution. The final answer is found to be correct after a mistake is corrected.
  • #1
charmedbeauty
271
0

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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  • #2
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:
  • #3
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.:)
 
  • #4
Cheers. It's easy to lose track of these things.
 

FAQ: Evaluation of reduction formula

What is a reduction formula in scientific research?

A reduction formula is a mathematical tool used to simplify complex expressions or equations. It involves breaking down a larger problem into smaller, more manageable parts, making it easier to analyze and understand.

How is a reduction formula used in evaluation of research data?

In scientific research, reduction formulas are commonly used to evaluate and analyze large sets of data. By breaking down the data into smaller components, researchers can identify patterns and relationships that may not have been apparent in the original dataset.

What are the benefits of using reduction formulas in scientific evaluation?

Reduction formulas allow for a more systematic and structured approach to analyzing data, making it easier to identify trends and draw conclusions. They also help to simplify complex problems, making them more manageable and easier to understand.

Can reduction formulas be applied to any type of data or problem?

Yes, reduction formulas can be applied to a wide range of data and problems in scientific research. They are particularly useful for complex or large datasets, but can also be applied to simpler problems to aid in understanding and analysis.

Are there any limitations to using reduction formulas in scientific evaluation?

While reduction formulas can be a powerful tool in scientific evaluation, they may not always be applicable or appropriate for every type of problem. Additionally, using reduction formulas may overlook important details or factors that could impact the overall analysis.

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