Indefinite Integrals - 13.1 Indefinite Integrals The Indefinite Integral or antiderivative of a function is the function such that ′ = Notation �

Indefinite Integrals - 13.1 Indefinite Integrals The...

This preview shows page 1 - 2 out of 2 pages.

13.1 Indefinite Integrals The Indefinite Integral, or antiderivative, of a function, ?(𝑥), is the function 𝐹(𝑥) such that 𝐹 (𝑥) = ?(𝑥). Notation: ∫ 𝒇(𝒙)𝒅𝒙 = 𝑭(𝒙) + 𝑪 Basic Shortcut Rules 1) ∫ 𝑥 𝑛 ?𝑥 = 1 𝑛+1 𝑥 𝑛+1 + 𝐶 , 𝑛 ≠ −1 2) ∫ 𝑥 −1 ?𝑥 = ∫ 1 𝑥 ?𝑥 = ln |𝑥| + 𝐶 3) ∫ ? 𝑥 ?𝑥 = ? 𝑥 + 𝐶 Examples (Note that the Sum/Difference and Constant Multiple Rules still hold) 3 .
3)An object is tossed upwards from the top of a building at a starting height

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture