{"result":{"text":"a equals k x text  and  end text fraction numerator v d v over denominator d x end fraction equals a\nrightwards double arrow integral from u to v of v d v equals integral from 0 to x of a d x equals integral from 0 to x of k x d x\nrightwards double arrow open v squared over 2 close vertical bar subscript u superscript v equals open fraction numerator k x squared over denominator 2 end fraction close vertical bar subscript 0 superscript x\nrightwards double arrow v squared minus u squared equals k x squared rightwards double arrow box enclose v squared equals u squared plus k x squared end enclose"},"status":"ok"}