What is the anti derivative of x squared plus x?

Answer 1

The anti-derivative of X2 plus X is the same as the anti-derivative of X2 plus the anti-derivative of X.

The anti derivative of X2 is X3/3 plus an integration constant C1

The anti derivative of X is X2/2 plus an integration constant C2

So the anti-derivative of X2+X is (X3/3)+(X2/2)+C1+C2

The constants can be combined and the fraction can combined by using a common denominator leaving

(2X3/6)+(3X2/6)+C

X2/6 can be factored out leaving

(X2/6)(2X+3)+C

Hope that helps

Answer 2

It is x^3/3 + x^2/2 + c where c is the constant of integration.