Question

∫(c) dx=x+c?

Answer 1

anti-derivative of a constant
k anti-derivative 1 dx =kx + c

Answer 2

essentially, you are correct

Answer 3

derivative of x = 1
therefore the antiderivative of 1 = x

Answer 4

x + c

Answer 5

thanks

Answer 6

you should spend a little bit of time reading the rules of anti-derivative
they are just important as the rules of derivatives