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Integration - The Basics

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I have no idea what you are doing

The power needs to increase from -2 to -1

You need to divide by the new power

Also, in order to reverse the chain rule you need to divide by 2



Edit .... I see what you are doing ... You can not just differentiate something in a denominator and get that in the denominator ... You should know how to differentiate (2x+1)^(-1)



You may find it easier to write the integrand as (2x+1)^(-2) at the start
(edited 9 years ago)
Reply 21
Original post by TenOfThem
I have no idea what you are doing

The power needs to increase from -2 to -1

You need to divide by the new power

Also, in order to reverse the chain rule you need to divide by 2



Edit .... I see what you are doing ... You can not just differentiate something in a denominator and get that in the denominator ... You should know how to differentiate (2x+1)^(-1)



You may find it easier to write the integrand as (2x+1)^(-2) at the start


Thanks. I understand it now. I've just got one meow question regarding this: could I use ln to work this out?


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Reply 22
Original post by TenOfThem
I have no idea what you are doing

The power needs to increase from -2 to -1

You need to divide by the new power

Also, in order to reverse the chain rule you need to divide by 2



Edit .... I see what you are doing ... You can not just differentiate something in a denominator and get that in the denominator ... You should know how to differentiate (2x+1)^(-1)



You may find it easier to write the integrand as (2x+1)^(-2) at the start


In exams, would I be using the reverse chain rule more often than the given formulas for integration?


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Original post by ps1265A
Thanks. I understand it now. I've just got one meow question regarding this: could I use ln to work this out?


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No

Original post by ps1265A
In exams, would I be using the reverse chain rule more often than the given formulas for integration?


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No
Reply 24
Original post by TenOfThem
No



No


So I should start using the formulas from now?


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Original post by ps1265A
So I should start using the formulas from now?


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I am not sure what you are asking
Reply 26
Original post by TenOfThem
I am not sure what you are asking


You said that I would be using integration formulas (the standards) in exams compared to the reverse chain rule. So should I start using the formulas when I'm practicing questions?


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Original post by ps1265A
You said that I would be using integration formulas (the standards) in exams compared to the reverse chain rule. So should I start using the formulas when I'm practicing questions?


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You use whatever the question needs .... In the exam you will have 2-4 integrations.

You need to practice all of the methods.
(edited 9 years ago)
Reply 28
Original post by TenOfThem
You use whatever the question needs .... In the exam you will have 2-4 integrations.

You need to practice all of the methods.


Alright thanks, I think my question was too general and in fact, I may have to use a combination of both


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