A curve with gradient function (1-x)/(1+x^2) goes through the origin. Show that the curve cuts the X-axis when arctan(x) = 0.5ln(1+x^2)
What exactly am I meant to do for these types of questions?
The first integral is (you should find this on any table of integrals) and the second integral can be solved using a simple u-sub ( ), so you end up with . Then you set to get the answer.
It seems a little strange that the question would ignore the presence of the integration constant though.