Complete Algebra and derivatives [Giveaway: Steam coupon]

Okay, I will give you this coupon if you successfully solve this riddle (yes, this is my homework, but why not).

You know f(x) is derivative of some F(x) function. You need to find F(x) of this function:


Example of F(x) and its derivative f(x):


(If you are winner, I need to ask your Steam ID or Steam Nickname, remember it)

 

https://www.symbolab.com/solver/step-by-step/\int \sin\left(3x+\frac{\pi}{6}\right)\text{dx}

no need to give me anything, I like helping people with math

 

@Mercenary Lord, everything is right! Thank you!

 

Glad to hear it: that website is really useful for math calculations, and if shows you the steps to take underneath as well. Kinda like Wolfram Alpha, but easier to use imo

 

@Mercenary Lord, I will save the link! It can really help me to prepare myself for the... exams!

 

Dude, I passed them last July xD And now I'm Computer Science student!
Thanks for the suppothing