6th Years and Leavers :: Chat Thread #2 :: Revenge of the Ape

namedeprived

Why not?

Don't be too evil though. :awesome:

Our teacher told us to try and find the integral of sec x tonight. I tried during my free period, ended up having to integrate by parts about 5 times, then googled it for the nicer solution.

A fun one to do is

\int{\arctan x} dx

Harder one:

\int{\left(ln x\right)^3} dx

Reply 4322

TheUnbeliever

Have you seen the maths A examples sheets? :eek3:

I have. A few of the ex-course-B people I know have now switched courses but are still going to do the course B example sheets only because the lecturer for course B is, uh, a bit "monotonous". :wink:

Reply 4323

Ape Gone Insane

Thank you

I'll have a look at this and find the hardest one you can. :cool:

Evil Cambridge Maths Paper

Show that (x,y)=(3/2, 3/2) and (x,y)=(−1/2, 5/2) are stationary points
of the function

\frac{1}{3}\left(x^3+y^3\right)+2xy-\frac{21}{4}\left(x+y\right)

and find the other two stationary points. Determine the nature of each stationary point.

that's worth 10 out of 120.

Enjoy :p:

Reply 4324

\displaystyle\int arctanx dx = xarctanx - ln|(1+x^2)^\frac{1}{2}|

?

The

(lnx)^3

one looks evil as well as that one about stationary points you've just posted.

Reply 4325

TheUnbeliever

16

Ape Gone Insane

On second thoughts, you might be interested in this, too.

namedeprived

Our teacher told us to try and find the integral of sec x tonight. I tried during my free period, ended up having to integrate by parts about 5 times, then googled it for the nicer solution.

If you want a slightly lengthier, and reasonably tricky, question:

Spoiler

This was given as optional homework last year (either in maths or in a rather-abused statistics class :p:

).

Reply 4326

namedeprived

\displaystyle\int arctanx = xarctanx - ln|(1+x^2)|^\frac{1}{2}

?

I have to go to my supervision now (maths by coincidence) but I'm sure TheUnbeliever will be able to help you :wink:

EDIT: your answer is a *tiny* bit wrong, but still wrong :wink:

EDIT2: I'll just save you the confusion - the proper form is to write the 0.5 power inside the |...| otherwise it's confusing which bit you are square rooting

Reply 4327

Meteorshower

Just did a 72 question uni challenge tryout exam. It was hardcore as anything, reckon I got maybe 20-30% :s-smilie:

Only 5 science questions!

Also, I resent the insinuation by ukdragon that incest is sleazy :p:

Reply 4328

Meteorshower

Just did a 72 question uni challenge tryout exam. It was hardcore as anything, reckon I got maybe 20-30% :s-smilie:

Only 5 science questions!

Also, I resent the insinuation by ukdragon that incest is sleazy :p:

Ooh, sounds fun. The guy in the current St Andrew's team, no idea what his name is but he sits on the far left, is amazing.

I managed to get 8 questions right last night, though I should have got two more. I was very proud of myself. :lol:

And I probably best not comment on the emboldened bit. :p:

Reply 4329

stefany-a

2

I hate higher english

Reply 4330

namedeprived

The

(lnx)^3

one looks evil as well as that one about stationary points you've just posted.

I actually haven't started doing this question but when I do I'll first make a substitution of u=ln x :wink:

Reply 4331

Meteorshower

Just did a 72 question uni challenge tryout exam. It was hardcore as anything, reckon I got maybe 20-30% :s-smilie:

Only 5 science questions!

Also, I resent the insinuation by ukdragon that incest is sleazy :p:

Was it with a sibling? :p:

Or your "mother"? :wink:

....Or even your "father"? :rofl:

Reply 4332

ukdragon37

I actually haven't started doing this question but when I do I'll first make a substitution of u=ln x :wink:

Ah sounds much better. I tried it with parts, and ended up with the most hideous expression imaginable (it's probably wrong). I didn't really think about substitution for some reason, probably because I've not had an example yet where I then needed to use parts.

Spoiler

Reply 4333

Meteorshower

namedeprived

Ooh, sounds fun. The guy in the current St Andrew's team, no idea what his name is but he sits on the far left, is amazing.

I managed to get 8 questions right last night, though I should have got two more. I was very proud of myself. :lol:

And I probably best not comment on the emboldened bit. :p:

Chris Flaherty, I know him :cool:

He made up the tryout exam I think. He's my stepdad actually (I think, it gets confusing) He's pretty awesome aswell. I also vaguely know the guy on the far right who does physics through athletics.

And to Ukdragon, I am in a relationship with my sister :p:

To be fair on me though, that was the case before she became my sister :wink:

Reply 4334

namedeprived

Ah sounds much better. I tried it with parts, and ended up with the most hideous expression imaginable (it's probably wrong). I didn't really think about substitution for some reason, probably because I've not had an example yet where I then needed to use parts.

Spoiler

The last integral evaluates to -lnx :wink:

Although your integration went wrong somewhere I think :no:

Reply 4335

ukdragon37

The last integral evaluates to -lnx :wink:

Although your integration went wrong somewhere I think :no:

I don't doubt it. :p:

The more time I spend on TSR the more depressed I get about my Maths ability.

Reply 4336

xo-Heva

Meteorshower

Chris Flaherty, I know him :cool:

He made up the tryout exam I think. He's my stepdad actually (I think, it gets confusing) He's pretty awesome aswell. I also vaguely know the guy on the far right who does physics through athletics.

And to Ukdragon, I am in a relationship with my sister :p:

To be fair on me though, that was the case before she became my sister :wink:

Meeehh??

Reply 4337

akj08

12

xo-Heva

Meeehh??

I think he means academic sister (at uni you have academic families with two first year 'children' and two 'parents' in the later years). At least I hope that's what he means.... :p:

Reply 4338

xo-Heva