Hey there! Sign in to join this conversationNew here? Join for free
x Turn on thread page Beta
    Offline

    22
    ReputationRep:
    (Original post by Indeterminate)
    Carry on. Let's see what you get!
    Well, I'm at: \displaystyle \int \frac{2\cos^2 x}{1+ sin x} \, \mathrm{d}x + \frac{2}{\tan x/2 + 1} (one or two sign errors might be lurking in there).
    Offline

    17
    ReputationRep:
    (Original post by Zacken)
    Well, I'm at: \displaystyle \int \frac{2\cos^2 x}{1+ sin x} \, \mathrm{d}x + \frac{2}{\tan x/2 + 1} (one or two sign errors might be lurking in there).
    Just starting now. Race you.

    Posted from TSR Mobile
    Offline

    17
    ReputationRep:
    (Original post by Indeterminate)
    Yup I'm quite a fan of Dickens and A Tale of Two Cities is one of my most favourite works of his :awesome:
    That's great! :yep: A Tale of Two Cities is on my list of books to read. I've been wanting to read it for too long!

    Posted from TSR Mobile
    Offline

    15
    check out STEP II 1996 Q4
    Offline

    22
    ReputationRep:
    (Original post by EricPiphany)
    check out STEP II 1996 Q4
    Fuuudge! I knew I'd seen this somewhere!!
    Offline

    22
    ReputationRep:
    (Original post by Krollo)
    Just starting now. Race you.

    Posted from TSR Mobile
    Have at it - looks like I've done the definite version on II, 1996, Q4 - heading to bed now, enjoy!
    Offline

    15
    (Original post by Zacken)
    Have at it - looks like I've done the definite version on II, 1996, Q4 - heading to bed now, enjoy!
    lol
    • Political Ambassador
    • Thread Starter
    Offline

    3
    ReputationRep:
    Political Ambassador
    (Original post by EricPiphany)
    check out STEP II 1996 Q4
    (Original post by Zacken)
    Fuuudge! I knew I'd seen this somewhere!!
    :eek:

    Tbf the indefinite version is more involving
    Offline

    22
    ReputationRep:
    (Original post by Indeterminate)
    :eek:

    Tbf the indefinite version is more involving
    Very much so. Especially without guidance/structure! :-)
    Offline

    12
    ReputationRep:
    Well I have finally integrated, after my 3rd change of variable. And now I CBA changing back haha.
    Offline

    22
    ReputationRep:
    (Original post by 16Characters....)
    Well I have finally integrated, after my 3rd change of variable. And now I CBA changing back haha.
    Somebody needs to make a meme of that. :rofl:
    • Political Ambassador
    • Thread Starter
    Offline

    3
    ReputationRep:
    Political Ambassador
    (Original post by 16Characters....)
    Well I have finally integrated, after my 3rd change of variable. And now I CBA changing back haha.
    Go on, tell us what you got
    Offline

    17
    ReputationRep:
    I essentially have the answer, but I can't be bothered to unpack the trig sub at this time of night. I'll have to see if I can be arsed to tex it in the morning.

    Update: Grrr. I seem to have half the right answer.

    Posted from TSR Mobile
    Offline

    17
    ReputationRep:
    Update 2: I have (what I believe is) the right answer finally. Will tex tomorrow

    Posted from TSR Mobile
    Offline

    12
    ReputationRep:
    (Original post by Indeterminate)
    Go on, tell us what you got
    Spoiler:
    Show

    - \sin 2\phi + 2\phi - \frac{1}{2} \tan \phi
    Where \phi = \frac{u}{2} - \frac{\pi}{8}
    And  x = \cos 2u

    Huh, only 2 changes. I was getting confused by an earlier, quickly abandoned, attempt at a t-substitution. I'm still too lazy to "unpack" though

    • Political Ambassador
    • Thread Starter
    Offline

    3
    ReputationRep:
    Political Ambassador
    Looks as though problem 2 has now been dealt with

    A hint for problem 1
    Spoiler:
    Show


    Notice that we can rewrite our integral as

    \displaystyle \int \dfrac{1}{2} \cdot \left(\dfrac{2\sin^2 \left(\frac{x}{2}\right) \cdot 2 \sin \left(\frac{x}{2}\right) \cdot \cos \left(\frac{x}{2}\right)}{2\cos^  2 \left(\frac{x}{2}\right)}\right) \left(\dfrac{1}{\sqrt{\cos^3 x + \cos^2 x + \cos x}}\right) \ dx

    and now there's some simplification that can be done

    Offline

    2
    ReputationRep:
    By A-level do you mean it's an actual A-level question or it uses A-level techniques? Seems way too hard.
    • Political Ambassador
    • Thread Starter
    Offline

    3
    ReputationRep:
    Political Ambassador
    (Original post by Rockstar North)
    By A-level do you mean it's an actual A-level question or it uses A-level techniques? Seems way too hard.
    The latter!

    You'll never see this kind of thing on an A-level maths paper :lol:
    Offline

    2
    ReputationRep:
    (Original post by Indeterminate)
    The latter!

    You'll never see this kind of thing on an A-level maths paper :lol:
    Ah okay, what level? Seems like STEP II standard
    • Political Ambassador
    • Thread Starter
    Offline

    3
    ReputationRep:
    Political Ambassador
    (Original post by Rockstar North)
    Ah okay, what level? Seems like STEP II standard
    Pretty much. However, STEP questions tend to follow a specific structure in that they offer candidates plenty of guidance
 
 
 
Reply
Submit reply
Turn on thread page Beta
Updated: February 18, 2016
Poll
Are you going to a festival?
Useful resources

Make your revision easier

Maths

Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

Equations

How to use LaTex

Writing equations the easy way

Student revising

Study habits of A* students

Top tips from students who have already aced their exams

Study Planner

Create your own Study Planner

Never miss a deadline again

Polling station sign

Thinking about a maths degree?

Chat with other maths applicants

Can you help? Study help unanswered threads

Groups associated with this forum:

View associated groups

The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE

Write a reply...
Reply
Hide
Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.