What is the anti derivative (x+2)dx?

Question

Calculus Integrals

Answer 1

Integral (x+2) dx

Since this is just a polynomial, all you have to do is use the reverse power rule. That is, the antiderivative of x^n (for n not equal to -1) is x^(n+1)/(n+1).

Also, the antiderivative of all constants C is Cx. Therefore,

Integral (x + 2) dx = (x^2)/2 + 2x + C

Remember that when taking the general antiderivative, you ALWAYS have to add a constant.

Answer 2

1/2X^2 + 2X