Integral Formulas 1. ∫ u du = 1 n + 1 u + c if n

Integral Formulas 1. ∫ un du = 1 n + 1 un+1 + c if n = −1. 2. ∫ du u

Calculus I Integration: A Very Short Summary Definition

Definition: Riemann Sum The Riemann Sum is a sum of the areas of n rectangles formed over n subintervals in [a, b] . Here the subintervals are of equal length, but they need not be. The height of t...

Calculus Tables

If f (x) is continuous on a closed interval [a, b], then f (x) attains both a minimum and a maximum value on [a, b]. Furthermore, if c ∈ [a, b] and f (c) is an extreme value (min or max), then c is...

Cal I Review

Recall from Math 141 Integration Basics Fundamental Theorem of

(3) Dx fg(x) = f (x) · g(x)[g(x)] provided g(x) 6= 0 .

MATH 141 Fundamental Theorem of Calculus (FTC) Let f : [a, b] → R

MATH 141 Fundamental Theorem of Calculus (FTC)

AP Calculus AB Chapter 6 Worksheet

 csc u cot udu  2csc u  2csc

Assume u = u(x) is a differentiable function of x . If n = −1, d dx ( [u(x

FORMULAS

Formulas from Business Basic Terms x  number of units produced (or sold) p  price per unit R  total revenue from selling x units C  total cost of producing x units C  average cost per unit P ...

Diaporama sur les séries de Taylor

L`Hôpital`s rule practice problems 21

rule may not apply to every limit, and it may not be helpful even when it does apply. Some limits may be found by other methods. These problems are given in no particular order. (Where appropriate,...

Required Material Term 3 Final (2014 - 2015)