Antiderivatives Table

Frequently asked questions

What is an antiderivative of a function?

An antiderivative F(x) is a function whose derivative equals f(x): F'(x)=f(x).

What is the antiderivative of xⁿ?

∫xⁿ dx = xⁿ⁺¹/(n+1) + C. For example: ∫x² dx = x³/3 + C.

What is the constant of integration C?

C is an arbitrary constant added when finding an antiderivative, because the derivative of a constant equals 0.