STEP 2016 Solutions

Best of luck then. Still, wouldn't they be likely to accept you even if you got 1,1?

oh then yeah i agree with what you put
did you remember to put +c i remembered literally seconds after walking out the exam hall urgh how much do you reckon they''ll penalise that?

I have a nice answer aswell. It was integral 0 to pi/4 of x/(cosx)(cosx+sinx)
I am saying what other ways were there other then mine cause First i tried t sub then after divide top bottom by cos^2(x) giving a nice solution.


Posted from TSR Mobile

It was all definite integrals.... Sorry


Posted from TSR Mobile

I'm having difficulty reading your solution, so perhaps this is the method you did, however this is roughly what I did (IIRC):

Note the last integral J is $\int \dfrac{x}{cosxcos(x-pi/4)*sqrt{2}}$

so use formula to say J = $\int \dfrac{pi/4 - x}{cosxcos(x-pi/4)*sqrt{2}}$

Then 2J = pi/4 * $\int \dfrac{1}{cosx cos (x-pi/4)*sqrt{2}}$ from 0 to pi/8
then J = pi/8 * $\int \dfrac{1}{cos^2 x + sinxcosx}$
then J = pi/4 * $\int \dfrac{1}{cos 2x + sin 2x + 1}$ from 0 to pi/8then J = pi/8 * $\int \dfrac{1}{cos x + sin x + 1}$ from 0 to pi/4then use t sub

I had a look at the paper and thought 5-8, 12-13 looked alright. 1-4 looked less inviting / longer than usual (but not by much). Overall I thought the paper was on the easier side - don't shoot me.

I got to your last line, but couldn't get any further.

General thoughts on the difficulty? I thought it was fairly average, no obvious gift questions but quite a few questions that it was easyish to get started with.

Q1 and 3 were trivial. Q6 was near impossible. I've heard of only 1 person managing the last part of Q6 out of 30 or so of the more able people. Any guesses for the mark distribution of Q6?

Edit to add: you've said it was on the easier side and then given lower boundaries for a 1 than 2010-2014?

Sorry, what was q3 again? Was that the f_n(x) one and proving that there are one or no solutions.

Also, which one was q6? I thought q6 was the DE one but I may be completely wrong.

On another note, how did people find the question where for the last part you had to find tan(theta) and x given y =(3+sqrt(7))/2, or something like that.

Slightly easier then last year. I guess
95/70 for S/1.
I was horrified tbh, no vectors and geometry set me back massively. ****inf ********.


Posted from TSR Mobile

Sorry, what was q3 again? Was that the f_n(x) one and proving that there are one or no solutions.

Also, which one was q6? I thought q6 was the DE one but I may be completely wrong.

On another note, how did people find the question where for the last part you had to find tan(theta) and x given y =(3+sqrt(7))/2, or something like that.