skip to content

STEP Support Programme

S2 Calculus Module Question 4

I have been working on Question #4 from the calculus step II module for a while. For part (i) the solutions say that after separating variables and integrating we should arrive at the solution $-\frac{1}{u} = \frac{1}{3} (1+x^2)^{\frac{1}{2}} + c$. I've reworked this problem a few times but I keep ending up at the solution $-\frac{1}{u} = \frac{1}{3} (1+x^2)^{\frac{3}{2}} + c$. Has anyone else had to same problem and can point me in the right direction? Thanks in advance!

You're correct, actually. The solution is wrong. (although the final answer they have is correct)

Ah, sweet. Thanks!

No problem, good job with getting it correct!

Mistake rectified!

Useful Links

Underground Mathematics: Selected worked STEP questions

STEP Question database

University of Cambridge Mathematics Faculty: What do we look for?

University of Cambridge Mathematics Faculty: Information about STEP

University of Cambridge Admissions Office: Undergraduate course information for Mathematics

Stephen Siklos' "Advanced Problems in Mathematics" book (external link)

MEI: Worked solutions to STEP questions (external link)

OCR: Exam board information about STEP (external link)

AMSP (Advanced Maths Support programme): Support for University Admission Tests (external link)