The variables t and x are related by t = x+√(x^2+2bx+c) where b and c are constants and
b^2<c. Show that
and hence integrate
Verify by direct integration that your result holds also in the case b^2 = c if x+b > 0 but that
your result does not hold in the case b^2 = c if x + b < 0 .
[and come someone tell me how to use the math symbols at this site.. i had to do everything in microsoft word ]