[math]int e^x dx=e^x[/math]

[math]\int e^x\ dx=e^x[/math]

Can you name a [math]\int e^x[/math]ier formula? Protip: you can't.

Attached: hqdefault.jpg (672x376, 106K)

Other urls found in this thread:

wolframalpha.com/input/?i=integrate e^x
youtube.com/watch?v=YocQ1g5uC5s
twitter.com/NSFWRedditImage

Your "formula" is wrong

wolframalpha.com/input/?i=integrate e^x

[math]\frac{d}{dx}e^x=e^x[/math]
Also you forgot your constant
0 points on your Calc exam

sorry can you explain wtf the constant thing is
I'm a stats fag who hasn't gotten past calculating z-scores in his maths edu

for any constant "C"
[math]\frac{d}{dx}e^x + C=e^x[/math]
Therefore
[math]\int e^x \, dx=e^x+C[/math]

what how does that work

If you derive a function you lose information as your constants fall away. When you integrate you have to account for this.

user I'm not going to teach you the fundamentals of calculus on a mongolian shadow puppet theatre forum

if the original function represents position, then its derivative is the change of position, which is to say the velocity. Adding a constant is equivalent to changing the starting position, which clearly has no effect on the velocity. In other words, you can't determine someone's absolute position from their velocity.

Wrong. [math]\frac{d}{dx} e^x + C = e^x + C[/math], not [math]e^x[/math]. Use parentheses next time.

Are you blind

>infefinite integral
>no "+C"
Go back to school kids

Attached: new_user.jpg (224x216, 18K)

are you dumb
unfortunately you aren't mute

Consider a function f = f(x)

Any graph of f shifted up or down by some constant has the same slope at the same x points

What kind retard thinks
[math]e^x + C=e^{x+C}[/math]
Are read the same

what is happening I just wanted to learn some calc, I didn't want to start a war

btw I have like a 100 in stats, so you guys can suckel my winner

e^x is an antiderivative of e^x, the constant is only needed when you are actually computing from a fixed initial point. The + C is for ugly nerds who never learnt proper calc.

There is ambiguity in the original statement because it isnt clear that you are taking the derivative of the exponential and the constant, or just the exponential. The lack of parentheses would lose marks on very strict exams

my prof was lazy so he just defined that notation to mean just some antiderivative of e^x

it isn't always "+ C" like amen in the church

look up how radioactive half-life works,
the constant is there but it isn't an addition

d/dx f(x) = f(x)

is a 1st order linear ODE, in other words it doesn't say enough to tell you what f(0) is, only f(x).

1st order, f(0) is free for you to pick, its the C here.

2nd order, you get to pick f'(0) and f(0)

etc etc

holy shit how can you be so retarded

A year has gone by since this thread started and no one, NOT ONE PERSON has given a [math]\int e^x[/math]ier formula.

[math]e^{i\pi}=-1[/math] is pretty good

>what's the constancy theorem

just look it up

Attached: x.jpg (620x349, 51K)

I just looked you up, you fucking neutrino

I bet you fucking wet your pants you French faggot

youtube.com/watch?v=YocQ1g5uC5s

a graph but every time it gets faster it gets faster

the derivative is just the slope at that position, it doesn't tell you how high the point is

RONG

Attached: spergcube.png (600x317, 179K)

Wrong board, consider visiting /s/ for theory, /soc/ for practice, or /gif/ for video lectures

your inelegance disgusts me