C4 integration
An integeation q , anyone can tell me where I did wrong? And also can someone tell when should I use substitution and when should I use integration by parts?
Thank you so much!
Posted from TSR Mobile
Thank you so much!
Posted from TSR Mobile
Original post by Lamalam
An integeation q , anyone can tell me where I did wrong? And also can someone tell when should I use substitution and when should I use integration by parts?
Thank you so much!
Posted from TSR Mobile
Thank you so much!
Posted from TSR Mobile
You can see there is a relationship between the product with this question. One function is the derivative of the other (or a multiple of it). At this point use substitution of even recognition.
Parts would be more suitable when the product is made up of 2 distinct functions. xlnx has two distinct functions where one is not the derivative of the other (ergo use parts) yet 2x(e^x^2) is a product of a function and it's derivative. Here recognition or substitution would be used.
Original post by m4ths/maths247
You can see there is a relationship between the product with this question. One function is the derivative of the other (or a multiple of it). At this point use substitution of even recognition.
Parts would be more suitable when the product is made up of 2 distinct functions. xlnx has two distinct functions where one is not the derivative of the other (ergo use parts) yet 2x(e^x^2) is a product of a function and it's derivative. Here recognition or substitution would be used.
Parts would be more suitable when the product is made up of 2 distinct functions. xlnx has two distinct functions where one is not the derivative of the other (ergo use parts) yet 2x(e^x^2) is a product of a function and it's derivative. Here recognition or substitution would be used.
What is recognition??
Original post by Lamalam
What is recognition??
When you look at an integral and you can "recognise" what it will integrate into by using the differential
Original post by Anythingoo1
When you look at an integral and you can "recognise" what it will integrate into by using the differential
Can u helping telling me what mistakes did I make??
Posted from TSR Mobile
Original post by Lamalam
sure, give me a few mins
Original post by Lamalam
Why not just use substitution instead rather than using parts?
It is similar to asking how to use integration by parts for the integral of p x p
Original post by Lamalam
There are different ways to approach this question, the first that I thought of was not covered in your syllabus (further maths), but upon inspection you can do this quite easily by substitution, exactly what's in the red pen
I don't think by parts is a viable choice for that question, you may be able to do it but it would be much more effort than substitution
Original post by Lamalam
An integeation q , anyone can tell me where I did wrong? And also can someone tell when should I use substitution and when should I use integration by parts?
Thank you so much!
Posted from TSR Mobile
Thank you so much!
Posted from TSR Mobile
You went wrong in a few places, you seem to lack a bit of understanding on integrals with limits and your working out is not clear enough for me to gather what you are doing.
When you used Integration parts you can see that in the second part you get given the expression from the original question. If you tried to integrate it again by parts you would get them same again and again which would get you nowhere. This shows recognition or substitution must be used.
Posted from TSR Mobile
(edited 9 years ago)
Original post by Lamalam
An integeation q , anyone can tell me where I did wrong? And also can someone tell when should I use substitution and when should I use integration by parts?
Thank you so much!
Posted from TSR Mobile
Thank you so much!
Posted from TSR Mobile
Substitution when you have a function and (a multiple of) it's derivative.
By parts when you can't spot an obvious substitution.
You started off wrong, if u is sin(x) and du is cos(x), you should get u^2 du.
Posted from TSR Mobile
Original post by B-Stacks
You went wrong in a few places, you seem to lack a bit of understanding on integrals with limits and your working out is not clear enough for me to gather what you are doing.
When you used Integration parts you can see that in the second part you get given the expression from the original question. If you tried to integrate it again by parts you would get them same again and again which would get you nowhere. This shows recognition or substitution must be used.
Posted from TSR Mobile
When you used Integration parts you can see that in the second part you get given the expression from the original question. If you tried to integrate it again by parts you would get them same again and again which would get you nowhere. This shows recognition or substitution must be used.
Posted from TSR Mobile
Because I was taught that if I see the same given expression I can actually move that to the left hand side of the equation. I think I am confused.
Original post by Lamalam
Because I was taught that if I see the same given expression I can actually move that to the left hand side of the equation. I think I am confused.
But your teacher is not going to tell you to use parts on this integral.
Original post by m4ths/maths247
But your teacher is not going to tell you to use parts on this integral.
ha yeah
Quick Reply
Related discussions
- Edexcel A2 Mathematics: Core Mathematics C4 6666 01 - 22 June 2018 [Exam Discussion]
- A-level maths help!
- A-Level Music Technology 2023
- how many marks should we get on solomon C4 paper to get an A* for a level GCE maths
- Ranmoor Room Colours!?
- Mechanics help
- Chem A level
- essay question
- Help integration
- Help with differential equations please.
- integration
- School behaviour record
- Help maths urgent ‼️
- Help urgent maths
- Applied Calculus Help
- Help I don’t understand integration
- A level maths mechanics question (1)
- a level chem reccomendations
- Froggatt Endcliffe
- A Level maths mechanics help
Latest
Trending
Last reply 1 day ago
Did Cambridge maths students find maths and further maths a level very easy?Last reply 2 weeks ago
Edexcel A Level Mathematics Paper 2 unofficial mark scheme correct me if wrongMaths
71
Trending
Last reply 1 day ago
Did Cambridge maths students find maths and further maths a level very easy?Last reply 2 weeks ago
Edexcel A Level Mathematics Paper 2 unofficial mark scheme correct me if wrongMaths
71
