P Prerequisite Skills Diagnostic Test R Algebra Reference 1 Functions 2 Exponential, Logarithmic, And Trigonometric Functions 3 The Derivative 4 Calculating The Derivative 5 Graphs And The Derivative 6 Applications Of The Derivative 7 Integration 8 Further Techniques And Applications Of Integration 9 Multivariable Calculus 10 Matrices 11 Differential Equations 12 Probability 13 Probability And Calculus 14 Discrete Dynamical Systems expand_more
7.1 Antiderivatives 7.2 Substitution 7.3 Area And The Definite Integral 7.4 The Fundamental Theorem Of Calculus 7.5 The Area Between Two Curves 7.CR Chapter 7 Review 7.EA Extended Application Estimating Depletion Dates For Minerals expand_more
Problem 1YT: YOUR TURN 1 Repeat Example 1 to approximate 154xdx. EXAMPLE 1 Approximation of Area Consider the... Problem 2YT Problem 1E: Explain the difference between an indefinite integral and a definite integral. Problem 2E: Complete the following statement. 04(x2+3)dx=limn, where x=, and xi is ______. Problem 3E: Let f(x)=2x+5, x1=0, x2=2, x3=4, x4=6, and x=2. a. Find i=14f(xi)x b. The sum in part a approximates... Problem 4E: Let f(x)=1/x, x1=1/2, x2=1, x3=3/2, x4=2, and x=1/2. a. Find i=14f(xi)x. b. The sum in part a... Problem 5E Problem 6E Problem 7E Problem 8E Problem 9E Problem 10E: In Exercise 5-14, approximate the area under the graph of f(x) and above the x-axisusing the... Problem 11E Problem 12E: In Exercise 5-14, approximate the area under the graph of f(x) and above the x-axis using the... Problem 13E: In Exercise 5-14, approximate the area under the graph of f(x) and above the x-axisusing the... Problem 14E Problem 15E: Consider the region below f(x)=x/2, above the x-axis, and between x=0 and x=4. Let xi be the... Problem 16E: Consider the region below f(x)=5x, above the x-axis, and between x=0 and x=5. Let xi be the midpoint... Problem 17E Problem 18E Problem 19E Problem 20E Problem 21E Problem 22E Problem 26E: In Exercises 2631, estimate the area under each curve by summing the area of rectangles. Use the... Problem 27E: APPLY IT Foot-and-Mouth Epidemic In 2001, the United Kingdom suffered an epidemic of foot and mouth... Problem 28E: In Exercises 2631, estimate the area under each curve by summing the area of rectangles. Use the... Problem 30E Problem 31E Problem 32E Problem 33E Problem 34E Problem 35E: DistanceWhen data are given in tabular form, you may need to vary the size of the interval to... Problem 36E: Heat Gain The following graphs show the typical heat gain, in BTU per hour per square foot, for... Problem 37E: Heat Gain The following graphs show the typical heat gain, in BTU per hour per square foot, for... Problem 38E: Automobile VelocityTwo cars start from rest at a traffic light and accelerate for several minutes.... Problem 39E: Distance Musk the friendly pit bull has escaped again Here is her velocity during the first 4seconds... Problem 40E: Distance The speed of a particle in a test laboratory was noted every second for 3seconds. The... Problem 41E: Running In 1987, Canadian Ben Johnson set a world record in the 100-m sprint.The record was later... Problem 42E: Traffic The following graph shows the number of vehicles per hour crossing the Tappan Zee Bridge,... format_list_bulleted