>>16833144
You forgot you constant of integration.
-2 points.

>>16833144
What are you integrating with respect to?

[math]
\int \sin(x)dx = \cos(x) + C \neq \int\sin(x) dy = y \sin(x)+C
[/math]

>>16833920
my graduate level analysis book develops lebesgue integration in one variable without ever once writing the differential. only when considering multivariable functions does the author bother.
also, learning about exterior algebra and differential forms has given me a different perspective on what d (the exterior derivative) actually means, and you can integrate over differential forms just fine even without a d

>>16833930
In that case, you'd write [math] \int \sin [/math] not [math] \int \sin x[/math]

>>16833914
>>16833920
thank you very much for explaining the point of the OP
btw the antiderivative of sin is -cos
retards

>>16833988
Maybe his sloppiness was also in forgetting the "h" on both sides, rather than the minus sign.

>Two mathematicians walk into a bar and begin to argue about the intelligence of the waitresses. One mathematician gets up, and on his way to the bathroom stops his server. He tells her: "I'll give you $5 is you answer "one-third x cubed" to the next question I ask you, ok?" The server nods, and walks away. When the mathematician returns to his table, he tells his colleague: "I bet you $100 that our server can answer a simple calculus problem." He then proceeds to flag down the server and asks her, "What is the indefinite integral of x squared?" She responds, "one-third x cubed." The man then proceeds to collect his money, only to be interrupted by the server saying "plus a constant."

>>16833914
>>16833999
>Muh plus constant
This is only a point that mouthbreathing retards make.

>>16834010
Sorry, bub. I don't make the rules.
Come back next semester and maybe you'll get a passing grade.

>>16834011
As I said, you are very dimwitted.
Out of curiosity, what would you say is antiderivative of 1/x?

>>16834012
ln(x)+C_1 where x>0
ln(-x)+C_2 where x<0
The negative and positive halves are discontinuous to one another so there is flexibility to have two entirely different constants.

I admit I only know this because I watched a video on the topic a few months ago.

>>16833986
I too, read some of chapter 1 of real and complex analysis myself

>>16833988
Lmao, you are right. I've published new papers of diff geo methods for signal processing, and still sometimes mix up the order for d sin -> cos, d^(-1) sin -> -cos