Part 1

67 Section 1 Assignment: Natural Logarithms Read all the parts of your assignment carefully and record your answers in the appropriate place. 1 1. a. Represent In 5 as a definite integral of the reciprocal function y = ;. 2 b. Graph the area in the plane this definite integral represents. Mathematics 31 - Module 8 2 Assignment Booklet 2. Differentiate the following: 3 a. y = In(3x-2)- 3 b. y= x[Inx ]' 1 3. a. The antiderivative of f(x) = = is written as F(x ) = 2In|x|. Why must the absolute value symbol be used? Mathematics 31 - Module 8 Assignment Booklet 2 b. By applying the rules for natural logarithms, how could the answer in question 3.a. be expressed so that the absolute value symbol is not required? 4. Integrate the following: 4 a. fox dx 2 b. cot x dx Mathematics 31 - Module 8 Assignment Booklet 3 5. What is the domain of y = In (3-2.x)? Write your answer in interval notation