Slide 14.1 Antiderivatives and Indefinite Integration Slide 2 Definition of an Antiderivative In many cases, we would like to know what is the function F ( x ) whose derivative…

Slide 1Page 0 Slide 2 Page 1 Section IThe Basics Slide 3 Page 2 Antiderivatives If I ask you what is the derivative of x, you will say 1. If I ask you what is the antiderivative…

1. The Indefinite Integral 2. Explore: Find a function with the given derivative.1) f’(x) = 2x2) y’ = 3x2 1 3) f’(x) = − x 2 3. Antiderivatives x2 is an antiderivative…

1. The Indefinite Integral 2. Explore: Find a function with the given derivative.1) f’(x) = 2x2) y’ = 3x2 1 3) f’(x) = − x 2 3. Antiderivatives x2 is an antiderivative…

1. Improper Integrals 2. Improper Integrals Integrals over an infinite interval such as ∫ e-x dx0 ∞ 3. Improper Integrals Integrals over an infinite…

Slide 1 Winter wk 7 – Tues.15.Feb.05 Calc. Ch.6.1: Constructing Antiderivatives Antiderivatives = integrals Finding antiderivatives graphically Finding antiderivatives…

Slide 1 4.9 Antiderivatives Wed Feb 4 Do Now Find the derivative of each function 1) 2) Slide 2 Antiderivatives Antiderivative - the original function in a derivative problem…

Section 5.6 Section 5.6 Integration: “The Fundamental Theorem of Calculus” All graphics are attributed to: Calculus,10/E by Howard Anton, Irl Bivens, and Stephen Davis…

The Indefinite Integral Objective: Develop some fundamental results about antidifferentiation Definition Definition 5.2.1 A function F is called an antiderivative of a function…

Objectives Warm-Up 4-1: Antiderivatives & Indefinite Integrals2002 Roy L. Gover (www.mrgover.com)Objectives:Define the antiderivative (indefinite integral)Learn basic…