- #1

- 61

- 2

## Homework Statement

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

## Homework Equations

x=∫v(t)dt

dx/dt=v(t)

## The Attempt at a Solution

Tried my best. Couldn't reach anywhere.