Determine the Anti-Derivistive of: "x^5 - 6x + 3"

Any and all help is greatly appreciated! :)

Question

Determine the Anti-Derivistive of: "x^5 - 6x + 3"

Any and all help is greatly appreciated! :)

anonymous · Answer

use the power rule backwards
raise the power by one, divide by that number
$$\int x^ndx=\frac{x^{n+1}}{n+1}$$

amonoconnor · Answer

I know, I DID the problem, and I know how to take anti's, but the answer key has something different than I got, and I'm seeking a second opinion :)

anonymous · Answer

my opinion is 
$$\frac{x^6}{6}-3x^2+3x$$

amonoconnor · Answer

That's close to what I got... :/ I got "(x^6)/6 - (3x^2) + 3x + C". Am I mistaken about the process of adding a "C" (representing "constant") to the answer, when dealing with Anti-Deriviatives?

anonymous · Answer

you are right, i didn't write the $+C$

amonoconnor · Answer

Okay. Would you mind looking at another one, falling the same scenario?

amonoconnor · Answer

It is: "1/[3(x^(1/3))]

amonoconnor · Answer

I got (x^(4/3))/4

amonoconnor · Answer

@satellite73

amonoconnor · Answer

Do you know of a different/ better answer?

amonoconnor · Answer

@satellite73  :)