Integration by Parts help!-C4

Hey.

How would you choose the u and dv/dx of a question of this sort?(Exercise 6G-Question 3,part c)

http://pmt.physicsandmathstutor.com/download/Maths/A-level/C4/Solutionbank-Heinemann/C4%20Chapter%206.pdf

Hey.

How would you choose the u and dv/dx of a question of this sort?(Exercise 6G-Question 3,part c)

http://pmt.physicsandmathstutor.com/download/Maths/A-level/C4/Solutionbank-Heinemann/C4%20Chapter%206.pdf

Choose the harder looking algebraic function to be dv. because when finding du/dx, you would need to IBP fewer times than if you were to make the easier function dv.

Time waster!! What about a substitution?

Hey.

How would you choose the u and dv/dx of a question of this sort?(Exercise 6G-Question 3,part c)

http://pmt.physicsandmathstutor.com/download/Maths/A-level/C4/Solutionbank-Heinemann/C4%20Chapter%206.pdf

There's a convention known as LATE for choosing what is 'u'.

The function to be 'u', should be chosen in this order:

L - logarithmic
A - algebraic
T - trigonometric
E - exponential

You can see Wikipedia for more information about this!


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Posted from TSR Mobile

I created these notes last year called 'top tips' where basically I included all little tricky things about every past paper that i did which helped me get A* for C4, I even have a really long section on integration. For instance besides talking about the LATE thing I say like "For by parts if you have to integrate this (x-1)(2x+3)^1./2, always set the less complicated looking one in this case as the ‘u’." So in this case u=x-1.
I uploaded these top tips on a facebook page so the year 13s from my school could get access to them since they found my c1/2 top tips really useful when they used them last year. Do you want me to send you the link to that face book page?