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    (Original post by TeeEm)
    one question I made and added earlier
    I shall have a go tomorrow, thanks for your help! PRSOM
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    (Original post by TeeEm)
    one question I made and added earlier
    Quick question. How come the sides of he rectangle are 4a and a respectively? Surely you can only relate them like this if this information is given in the question?
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    (Original post by Gilo98)
    Quick question. How come the sides of he rectangle are 4a and a respectively? Surely you can only relate them like this if this information is given in the question?
    clearly ! did this in a hurry and forgot to add this bit of information in the text.

    sorry
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    (Original post by TeeEm)
    clearly ! did this in a hurry and forgot to add this bit of information in the text.

    sorry
    No worries I presumed that was the case. The method you used was what was important to me anyway.
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    http://www.thestudentroom.co.uk/show....php?t=3595397
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    http://www.thestudentroom.co.uk/show....php?t=3663045
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    disgusting differential equation ...
    any takers

    (I planning to put this question as the last question in the IYGB Special Paper S)
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  1. File Type: pdf Document1.pdf (12.5 KB, 90 views)
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    UPDATE ON I.Y.G.B SPECIAL PAPERS

    So far uploaded in my site

    Paper Z (final draft)
    Paper Z (solutions)

    Paper Y (final draft)
    Paper Y (solutions)

    Paper X (final draft)
    Paper X (solutions)

    Paper W (final draft)
    Paper W (solutions)

    Paper V (final draft)
    Paper V (solutions)

    Paper U (final draft)
    Paper U (solutions)

    Paper T (final draft)
    Paper T (solutions)

    Paper S (final draft)
    Paper S (solutions)

    Paper R (first draft)

    NOTE that the solution files will be withdrawn after a short period of time as some teachers asked me to.

    also look at
    http://www.thestudentroom.co.uk/show....php?t=3595397
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    To the people asking I can assure my site now is up to date.
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    possibly undergrad
    determine the value of a, a>0, for which the integral gives zero

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    any takers?
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    Any good method for this?
    (please attach I do not have home-works any more!!!)

    I have the correct answer (which is part of an undergrad question to which I am writing a solution)
    It is just that the method seems a bit too long and I do not want to rewrite the solution as this integral lies somewhere in the middle of a longish problem

    Thanks
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    (Original post by TeeEm)
    Any good method for this?
    (please attach I do not have home-works any more!!!)

    I have the correct answer (which is part of an undergrad question to which I am writing a solution)
    It is just that the method seems a bit to long and I do not want to rewrite the solution as this integral lies somewhere in the middle of a longish problem

    Thanks
    Can it be done using A level methods? Im thinking hyperbolic.


    Posted from TSR Mobile
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    (Original post by TeeEm)
    Any good method for this?
    (please attach I do not have home-works any more!!!)

    I have the correct answer (which is part of an undergrad question to which I am writing a solution)
    It is just that the method seems a bit to long and I do not want to rewrite the solution as this integral lies somewhere in the middle of a longish problem

    Thanks
    What is the answer? I did...something, but it's weird
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    (Original post by physicsmaths)
    Can it be done using A level methods? Im thinking hyperbolic.


    Posted from TSR Mobile
    All standard A level techniques except the infinity limit
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    (Original post by 13 1 20 8 42)
    What is the answer? I did...something, but it's weird
    it is a mess to type

    take the limit of the answer as k tends to zero

    you should get 2pi
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    (Original post by TeeEm)
    it is a mess to type

    take the limit of the answer as k tends to zero

    you should get 2pi
    Got pi first but just forgot to account for chain rule on the arctan
    Separating into two logs and then using IBP on both is fairly quick no? I guess It's not very pretty. And it's assuming the derivative of arctan is expected knowledge
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    (Original post by 13 1 20 8 42)
    Got pi first but just forgot to account for chain rule on the arctan
    Separating into two logs and then using IVP on both is fairly quick no? I guess It's not very pretty. And it's assuming the derivative of arctan is expected knowledge
    I will try
    I missed direct integration by parts
    I did a substitution then parts which makes it longer.

    My brain is totally fried

    thanks
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    I've got some cool integral questions somewhere, I hope TeeEm won't mind if I post one or two here occasionally?

    Here's some of the easiest:

    \int \sqrt{tan x}\ dx

    \int arctan( \sqrt{x} )\ dx

    Got lots of integral questions, not sure where they're from, but I printed them off in Year 12, and I don't recognise any of them from STEP
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    (Original post by Johann von Gauss)
    I've got some cool integral questions somewhere, I hope TeeEm won't mind if I post one or two here occasionally?

    Here's some of the easiest:

    \int \sqrt{tan x}\ dx

    \int arctan( \sqrt{x} )\ dx
    No problem

    the first one is famous

    the second not sure .... is it hard without limits?
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    (Original post by TeeEm)
    No problem

    the first one is famous

    the second not sure .... is it hard without limits?
    First one is probably a classic, second one is very easy
 
 
 
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