P Preparation For Calculus 1 Limits And Their Properties 2 Differentiation 3 Applications Of Differentiation 4 Integration 5 Logarithmic, Exponential, And Other Transcendental Functions 6 Differential Equations 7 Applications Of Integration 8 Integration Techniques And Improper Integrals 9 Infinite Series 10 Conics, Parametric Equations, And Polar Coordinates 11 Vectors And The Geometry Of Space 12 Vector-valued Functions 13 Functions Of Several Variables 14 Multiple Integration 15 Vector Analysis expand_more
4.1 Antiderivatives And Indefinite Integration 4.2 Area 4.3 Riemann Sums And Definite Integrals 4.4 The Fundamental Theorem Of Calculus 4.5 Integration By Substitution Chapter Questions expand_more
Problem 1E: CONCEPT CHECK Sigma Notation What are the index of summation, the upper bound of summation, and the... Problem 2E Problem 3E Problem 4E Problem 5E: Finding a Sum In Exercises 5-10, find the sum by adding each term together. Use the summation... Problem 6E Problem 7E: Finding a Sum In Exercises 5-10, find the sum by adding each term together. Use the summation... Problem 8E Problem 9E: Finding a Sum In Exercises 5-10, find the sum by adding each term together. Use the summation... Problem 10E Problem 11E Problem 12E Problem 13E Problem 14E Problem 15E Problem 16E Problem 17E Problem 18E Problem 19E: Evaluating a Sum In Exercises 17-24, use the properties of summation and Theorem 4.2 to evaluate the... Problem 20E Problem 21E Problem 22E Problem 23E Problem 24E: Evaluating a Sum In Exercises 1724, use the properties of summation and Theorem 5.2 to evaluate the... Problem 25E Problem 26E Problem 27E Problem 28E: Evaluating a Sum In Exercises 25-28, use the summation formulas to rewrite the expression without... Problem 29E Problem 30E: Approximating the Area of a Plane Region In Exercises 29-34, use left and right endpoints and the... Problem 31E Problem 32E Problem 33E Problem 34E Problem 35E Problem 36E: Using Upper and Lower Sums In Exercises 35 and 36, bound the area of the shaded region by... Problem 37E Problem 38E: Finding Upper and Lower Sums for a Region In Exercises 37-40, use upper and lower sums to... Problem 39E: Finding Upper and Lower Sums for a Region In Exercises 37-40, use upper and lower sums to... Problem 40E Problem 41E: Finding Upper and Lower Sums for a Region In Exercises 41-44, find the upper and lower sums for the... Problem 42E: Finding Upper and Lower Sums for a Region In Exercises 41-44, find the upper and lower sums for the... Problem 43E: Finding Upper and Lower Sums for a Region In Exercises 41-44, find the upper and lower sums for the... Problem 44E: Finding Upper and Lower Sums for a Region In Exercises 41-44, find the upper and lower sums for the... Problem 45E: Numerical Reasoning Consider a triangle of area 2 bounded by the graphs of y=x,y=0, and x=2. (a)... Problem 46E: Numerical Reasoning Consider a triangle of area 4 bounded by the graphs of y=x,y=0,x=1, and x=3. (a)... Problem 47E Problem 48E Problem 49E Problem 50E Problem 51E Problem 52E Problem 53E Problem 54E Problem 55E Problem 56E Problem 57E Problem 58E Problem 59E Problem 60E Problem 61E Problem 62E Problem 63E Problem 64E Problem 65E Problem 66E Problem 67E Problem 68E: EXPLORING CONCEPTS Approximation A function is continuous, nonnegative, concave upward, and... Problem 69E Problem 70E: EXPLORING CONCEPTS Midpoint Rule Does the Midpoint Rule ever give the exact area between a function... Problem 71E: Graphical Reasoning Consider the region bounded by the graphs of f(x)=8x/(x+1),x=0,x=4, and y=0, as... Problem 72E Problem 73E Problem 74E Problem 75E Problem 76E Problem 77E: Seating Capacity A teacher places n scats to form the back row of a classroom layout. Each... Problem 78E: Proof Prove each formula by mathematical induction. (You may need to review the method of proof by... Problem 79E: PUTNAM EXAM CHALLENGE A dart, thrown at random, hits a square target. Assuming that any two parts of... format_list_bulleted