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# P3 Integration Dude's Hard One! Who Can Crack It?! watch

1. i have the ans as e-2

Does anyone want me to show them the whole method or are they ok?
2. (Original post by Bhaal85)
Who are you trying to teach?
I am trying to boast that i am capable of some maths!!!

Trying to teach myself actually!!!
3. (Original post by mabs)
someone show me the u and v dash method, geebee, d/dx x (wt is that???) - first line of working
d(f(x))/dx means the differential of a function wrt. x
4. (Original post by Silly Sally)
i have the ans as e-2

Does anyone want me to show them the whole method or are they ok?

yippeeeeeee i got it!! lol was just a bit blind so thought i did it wrong. i'm 18 soon too! yay
5. (Original post by wonkey)
yippeeeeeee i got it!! lol was just a bit blind so thought i did it wrong. i'm 18 soon too! yay
YAY!!! Well done!! I couldn't have one it without everyones hints though

When are you 18?
6. (Original post by Silly Sally)
YAY!!! Well done!! I couldn't have one it without everyones hints though

When are you 18?

yeah i would have messed up too. 20th u?
7. (Original post by wonkey)
yeah i would have messed up too. 20th u?
of june?

Mine is 25th of july!!!! Can't wait!!!
8. ∫ ² ³ ± ÷ ° √ ∂ ∞ ≈ ≠ ≡ ≥ ≤ ø Ø ½ ¼ « » µ π

∫ (lnx)^2 dx = ∫ lnxlnx

u=lnx
du/dx=1/x

dv/dx=lnx
v=x(lnx-1)

∫ u.dv/dx = uv-∫ v.du/dx

xlnx(lnx-1)-∫ x(lnx-1).1/x dx
xlnx(lnx-1)-∫ lnx-1 dx
xlnx(lnx-1)-(x(lnx-1)-x)
xlnx(lnx-1)-(xlnx-2x)
[xlnx(lnx-1)-xlnx+2x] between e and 1. Tell me its right.
9. (Original post by Silly Sally)
of june?

Mine is 25th of july!!!! Can't wait!!!
yeah june!!
10. (Original post by Bhaal85)
∫ ² ³ ± ÷ ° √ ∂ ∞ ≈ ≠ ≡ ≥ ≤ ø Ø ½ ¼ « » µ π

∫ (lnx)^2 dx = ∫ lnxlnx

u=lnx
du/dx=1/x

dv/dx=lnx
v=x(lnx-1)

∫ u.dv/dx = uv-∫ v.du/dx

xlnx(lnx-1)-∫ x(lnx-1).1/x dx
xlnx(lnx-1)-∫ lnx-1 dx
xlnx(lnx-1)-(x(lnx-1)-x)
xlnx(lnx-1)-(xlnx-2x)
[xlnx(lnx-1)-xlnx+2x] between e and 1. Tell me its right.
Yep - that would give you the right ans - although i did it another way - but that doesnt matter cos in maths there area thousand ways to get from A to B
11. (Original post by Bhaal85)
∫ ² ³ ± ÷ ° √ ∂ ∞ ≈ ≠ ≡ ≥ ≤ ø Ø ½ ¼ « » µ π

∫ (lnx)^2 dx = ∫ lnxlnx

u=lnx
du/dx=1/x

dv/dx=lnx
v=x(lnx-1)

∫ u.dv/dx = uv-∫ v.du/dx

xlnx(lnx-1)-∫ x(lnx-1).1/x dx
xlnx(lnx-1)-∫ lnx-1 dx
xlnx(lnx-1)-(x(lnx-1)-x)
xlnx(lnx-1)-(xlnx-2x)
[xlnx(lnx-1)-xlnx+2x] between e and 1. Tell me its right.
Yep it is as:

[elne(lne-1)-elne+2e] = e
[1ln1(ln1-1)-1ln1+2] = 2

Yah, three cheers for Bhaal.
12. (Original post by Silly Sally)
Yep - that would give you the right ans - although i did it another way - but that doesnt matter cos in maths there area thousand ways to get from A to B
Or e to 1.
13. (Original post by Bhaal85)
Or e to 1.
lol - yep indeedy
14. waaaaaaaaaaaaaaaheeeeeeeeeeeey

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