PPT-Integrals of Exponential and Logarithmic Functions

Integration Guidelines Learn your rules Power rule trig rules log rules etc Find an integration formula that resembles the integral you are trying to solve u substitution . The integral of any odd function between f and f is equal to zero see Figure 1 a x b x x x e even odd even Figure 1 Even and odd integrals o determine if a function is even check to see if fx f x For an odd function fx f x Some funct ions are n book. of . nature. . is. . written. . in. . the. . language. of . mathematics. Galileo Galilei. 1. Introduction. 2. Basic operations and functions. 3. Matrix algebra I. 4. Matrix algebra II. 5. Handling a changing world. Exponential Functions & Their Graphs. Logarithmic Functions & Their Graphs. Properties of Logarithms . Exponential and Logarithmic Equations. Exponential and Logarithmic Models. a. b.. T. rigsted - Pilot Test. Dr. Claude Moore - Cape Fear Community College. CHAPTER 5: . Exponential and Logarithmic Functions and Equations. 5.1 Exponential Functions. 5.2 The Natural Exponential Function. Write equivalent forms for exponential and logarithmic functions.. Write. , evaluate, and graph logarithmic functions.. . Objectives. logarithm. common logarithm. logarithmic function. Vocabulary. Why are we. Section 6.3 Beginning on page 310. Logarithms. For what value of x does . ? Logarithms can answer this question. Log is the inverse operation to undo unknown exponents. .  .  .  .  .  . *Read as log base b of y. Differentiation. Integration. Properties of the Natural Log Function. If a and b are positive numbers and n is rational, then the following properties are true:. The Algebra of Logarithmic Expressions. (4.1) Exponential & Logarithmic Functions in Biology. (4.2) Exponential & Logarithmic Functions: Review. (4.3) . Allometry. (4.4) Rescaling data: Log-Log & Semi-Log Graphs. Recall from last time that we were able to come up with a “best” linear fit for . The inverse of an exponential function is a . logarithmic function. .. y = log . b . a. Read. :. . y = “log . base . b. . of . a”. Definition. log. b. . A = x is read as “log base b of a equals X.. We know:. 2. 3. =. 8. and. 2. 4. =. 16. But, for what value of . x. does. 2. x. = 10?. To solve for an exponent, mathematicians defined . logarithms. .. Since 10 is between 8 and 16, . x. must be between 3 and 4.. Graphs of Logarithmic Functions . Log. 2. x. Equivalent Equations. Solving Certain Logarithmic Equations. 9.3. 1. Inverses of Exponential Functions. f(x) = 2. x. f. -1. (x) = ? x = 2. y. continuous. functions over . closed. intervals.. Sometimes we can find integrals for functions where the function . is discontinuous or . the limits are infinite. These are called . improper integrals. Differentiate between linear and exponential functions.. 4. 3. 2. 1. 0. In addition to level 3, students make connections to other content areas and/or contextual situations outside of math..  . Students will construct, compare, and interpret linear and exponential function models and solve problems in context with each model.. Differentiate between linear and exponential functions.. 4. 3. 2. 1. 0. In addition to level 3, students make connections to other content areas and/or contextual situations outside of math..  . Students will construct, compare, and interpret linear and exponential function models and solve problems in context with each model..