I believe the answer is 0.5(x(x^2-a)^0.5)-0.5aln(x+(x^2-a)^0.5)
does anyone know how to get this/derive this i.e. not take from tables !!!!
Thanks
that is correct.
to get the derivative of the answer, you need to use the product rule and the chain rule. are you familiar with these.
moreover, note that $\displaystyle \frac d{dx} \ln u = \frac {u'}u$ (by the chain rule)
where $\displaystyle u$ is some function of $\displaystyle x$