1. The problem statement, all variables and given/known data I am a high school student and I am very fond of calculus. I know we get the distance by calculating the area under the v-t graph. But this is my take on another way to get an equation The original differential equation is dx/dt=v(t) multiplying both sides by dt, dx=v(t)dt Integrating on both sides, ∫dx=∫v(t)dt Hence we get x+c=F(t)+C where F(t) consists of variables only. but x=∫v(t)dt =F(t)+C so i am getting x+c=x but since c is a constant and not necessarily zero x+c might not be equal to x. Help!!!!!!!!!!!!!!! Spending sleepless nights on this problem 2. Relevant equations x=∫v(t)dt dx/dt=v(t) 3. The attempt at a solution Tried my best. Couldn't reach anywhere.