- #1

- 58

- 1

## Homework Statement

My problem is in integral calculus (I'm new to it).

I know what it is and how it works (basically. I'm not too advanced right now).

The problem is as following: (I will be posting comments/reasons along with what I've done and with what logic/understanding I've done it. Please correct me if I'm wrong.)

I was trying to derive kinematic equations using differentiation.

a=d(v)/dt -{1. here, we differentiated velocity w.r.t time}

∫adt= ∫d(v) -{2. here, we have multiplied both sides by dt. I don't know how that's even possible but my teacher told it that way. If there is some other underlying logic, please be kind enough to enlighten me.}

at|

^{v}

_{u}= v -{3. a is taken as a constant. So, it comes out of the integration as it is. Integral of dv is v( how? I don't know. My teacher told it this way. (He explained it this way: Sum of multiple small dv's will be v. I got it during the class, but now I have a doubt. With respect to what are integrating dv?)

at=v-u

Derived.

## Homework Equations

x_x_x

## The Attempt at a Solution

This isn't a problem but a doubt in my understanding. So there are no attempts. I have already written what all there is.

Please help.