Question

Find the most general AntiDerivative of f(x) = x -3

Answer 1

use the power rule backwards

Answer 2

for example, the anti derivative of \(x\) is \(\frac{x^2}{2}\)

Answer 3

right but do I need to write is as 1/2x?

Answer 4

in general the anti derivative of \(x^n\) is \(\frac{x^{n+1}}{n+1}\)

Answer 5

\[\frac{ 1x^2 }{ 2 }\]? or will just x^2/2 be okay

Answer 6

jeez not to be annoying, but when you get to calc, it is time to drop the "invisible 1" right?

Answer 7

well the answer in the book put is there, so I did not know if it was significant.

Answer 8

really?

Answer 9

wow i guess it was trying to "show all steps" as they say
yes, just go with
\[\frac{x^2}{2}-3x+C\]

Answer 10

don't forget that \(+C\) since it asked for "most general" one

Answer 11

right, thanks!

Answer 12

yw