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# FP3 Integration Help/C4 Integration watch

1. Using integration by parts, ntegral(arcsin(x/2)dx
Limits root3 and 0

I keep getting the wrong answer and I'm not sure why

I used u=arcsin(x/2)
u'=1/2squareroot(1-1/4x^2)

v'=1
v=1

Can anyone help please?

Thank you in advance to anyone that helps.
2. (Original post by PaigeS1997)
Using integration by parts, show that integral(arcsin(x/2)dx=1/8
Limits root3 and 0

I keep getting the wrong answer and I'm not sure why

I used u=arcsin(x/2)
u'=1/2squareroot(1-1/4x^2)

v'=1
v=1

Can anyone help please?
Please post a photo of your workings
3. (Original post by TeeEm)
Please post a photo of your workings
When I entered the limits the answer was wrong
Attached Images
4. pic.pdf (190.4 KB, 73 views)
5. (Original post by PaigeS1997)
When I entered the limits the answer was wrong
it is your very last line, the very last term you integrated
6. (Original post by TeeEm)
it is your very last line, the very last term you integrated
Thank you, I see now that I have an extra x on it
7. (Original post by PaigeS1997)
Thank you very much
no worries
8. (Original post by TeeEm)
no worries
Sorry to be a pain but what do I actually do with that x in order to integrate please?
9. (Original post by PaigeS1997)
Sorry to be a pain but what do I actually do with that x in order to integrate please?
For some students this is recognisable

otherwise use the substitution

u = 4 - x2

PS
the a a far better way of doing this integral.
Post your correct solution first so I cannot be accused of posting full solutions, and I will then post an alternative
10. (Original post by TeeEm)
For some students this is recognisable

otherwise use the substitution

u = 4 - x2

PS
the a a far better way of doing this integral.
Post your correct solution first so I cannot be accused of posting full solutions, and I will then post an alternative
Got it thank you
11. (Original post by TeeEm)
For some students this is recognisable

otherwise use the substitution

u = 4 - x2

PS
the a a far better way of doing this integral.
Post your correct solution first so I cannot be accused of posting full solutions, and I will then post an alternative
Thank you, I got -1+pie/root3
12. (Original post by PaigeS1997)
Thank you, I got -1+pie/root3
no worries.
(I have no idea what the answer is as I have not done it)

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