Question

What is the integral of sin(x)?

Answer 1

-cos(x)+c

Answer 2

no no, just cos(x)+c!

Answer 3

\[\int\limits_{}^{}\sin(x)=-\cos(x)+c\] and
\[\int_{}^{}cos(x)=sin(x)+c\]

Answer 4

You know what hylkek, just look it up. It's too easy for you not to.
Go here:
http://tutorial.math.lamar.edu/pdf/Calculus_Cheat_Sheet_Integrals_Reduced.pdf

Answer 5

my bad) Rudy, you're right!

Answer 6

Here's how I remember it:
You know what a sine wave looks like, right? And you know the derivative is the slope, so if you picture a sine wave, you know the derivative is cosine.
And if you picture a cosine wave, you know it starts going down, so it's minus sine.
These are the derivatives and since the integrals are just the opposite, then once you know the derivatives it's easy.
You can always memorize, but since these always tripped me up, I had to figure out a way to check myself so I'd know for sure.

Answer 7

cool idea)

Answer 8

Thanks all! @Rudy: you're absolutely right. Truth be told, I was conducting a little experiment to see how many people would respond. Thanks again.