Guidance on using ELLIPKE function

I have an integral:

sqrt(1+(4*a*x^3+3*b*x^2+2*c*x+d)^2)

and have read that using the ellipke function could help me to get a numerical solution for this arc length calculation. I am completely unsure how to use this function and matlab, like always, is of no help.

Any help would be greatly appreciated.