STEP 2001 Paper 2 Question 6

This thread is an excerpt from a discussion of the STEP papers immediately after they took place.

By Olof Sisask on Thursday, June 28, 2001 - 01:47 pm :

I had a quick go at Q6) with

x = \tan θ

, but then I couldn't integrate

\tan^{4} θ

, so I left it.

By Michael Doré on Thursday, June 28, 2001 - 02:18 pm :

For Q6i) how about integration by parts?

By Michael Doré on Thursday, June 28, 2001 - 03:20 pm :

For 6ii), make the substitution y = (1 - x)/(1 + x) and I think it reduces to 6i) (which is easy by integration by parts).