They used integration by parts straight away and let u=lnx as when differentiated it is 1/x and that works out quite nicely. I think that's a standard method which may come up often.
I tried substitution, it isn't the method they use but it works. I let x=e−y (You will see why I used y soon) and ended up with ∫0ln31yeydy.
Then I applied integration by parts. If I used u earlier then it would get very confusing at this stage with u's and v's :P
Their alternative method involved substitution, but they ended up with the definite integral ∫0ln3te−tdt instead. (And then they used integration by parts.)
Cool thanks, that was 10 part 2 But still thanks anyways.. Raheem94 helped me out already .. thanks
C1, C2, C3, C4, S1, S2 as A-level maths (going by module marks, this is how they'd arrange them) FP1, M1, D1 (AS) FP2, S3, D2 as A-level FM (I think my FP2 will be better than FP3) FP3 and M2 left over - although FP3 might replace D2, or I might improve my M2 enough for it to go in FM.
Neglecting C4 for a bit at the moment to concentrate on learning FP3 and preparing for my first exam (C1).
C1, C2, C3, C4, S1, S2 as A-level maths (going by module marks, this is how they'd arrange them) FP1, M1, D1 (AS) FP2, S3, D2 as A-level FM (I think my FP2 will be better than FP3) FP3 and M2 left over - although FP3 might replace D2, or I might improve my M2 enough for it to go in FM.
Neglecting C4 for a bit at the moment to concentrate on learning FP3 and preparing for my first exam (C1).
Another one on the hardcore mathematics list
Now time for my mistakes . I did the chapter 8 misc questions, can't scan because...my scanner took a nasty fall -4 -7 -8
(C4 book misc questions 8, pages 343-344) I don't really understand how to integrate them, I know it's got to do with logs etc? but I cant do it
C1, C2, C3, C4, S1, S2 as A-level maths (going by module marks, this is how they'd arrange them) FP1, M1, D1 (AS) FP2, S3, D2 as A-level FM (I think my FP2 will be better than FP3) FP3 and M2 left over - although FP3 might replace D2, or I might improve my M2 enough for it to go in FM.
Neglecting C4 for a bit at the moment to concentrate on learning FP3 and preparing for my first exam (C1).