Math 141 Calculus 1 Chapter 5

Section 5.1 Area and Estimating with Finite Sums
Worksheet – Area and Estimating with Finite Sums

Section 5.2 Sigma Notation
Worksheet – Sigma Notation

Section 5.3 Definite Integral
Worksheet – Definite Integral

Section 5.4 The Fundamental Theorem of Calculus (computational error in one of the examples!)
Worksheet – The Fundamental Theorem of Calculus

Section 5.5 Indefinite Integrals
Worksheet – Indefinite Integrals

Section 5.6 Substitution and Area Between Curves
Worksheet – Substitution and Area Between Curves

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Questions asked by students

Average 5-1-17 (15^th Edition)

Riemann Sum 5-2-43 (15^th Edition)

Riemann Sum 5-2-44 (15^th Edition)

5-2-43 Riemann Sum (15^th Edition)

5-2-44 area under curve Riemann Sum (right hand endpoint not left!) (15^th Edition)

5-2-45 Riemann Sum (15^th Edition)

5-2-47 Riemann Sum (15^th Edition)

Graph the Integrand to Find the Area 5-3-17 (15^th Edition)

5-3-22 area under a curve semicircle and a rectangle (15^th Edition)

Area Using Formulas 5-3-28 (15^th Edition)

5-3-57 area under the curve (15^th Edition)

Average Value of Function 5-3-59 (15^th Edition)

Average Area Under Absolute Value 5-3-61 (15^th Edition)

ANOTHER ONE 5-3-61 average area under a curve absolute value (15^th Edition)

5-3-72 minimizing area under a curve (15^th Edition)

Upper Bound 5-3-79 (15^th Edition)

Average Speed 5-3-88 (15^th Edition)

ANOTHER 5-3-88 (15^th Edition)

Differentiating the Integral 5-4-33 (15^th Edition)

Fundamental Theorem of Calculus 5-4-45 (15^th Edition)

Area of the Region Between X-Axis and the Graph of … 5-4-53 (15^th Edition)

Fundamental Theorem of Calculus 5-4-45 (15^th Edition)

Find Area of Shaded Region 5-4-53 (15^th Edition)

Reduce the Integral to Standard Form 5-5-15 (15^th Edition)

Evaluate the Integral 5-5-21 (15^th Edition)

U-Sub Complex 5-5-37 (15^th Edition)

U-Sub 5-5-47 (15^th Edition)

U-Sub 5-5-53 (15^th Edition)

5-6-1 u-sub with changing the bounds (15^th Edition)

Substitution and Changing Bounds 5-6-13 (15^th Edition)

Trig Substitution 5-6-17 (15^th Edition)

Trig Substitution 5-6-19 (15^th Edition)

Trig Substitution 5-6-27 (15^th Edition)

5-6-49 tricky with three areas (15^th Edition)

5-6-77 area in two pieces (15^th Edition)

Find Total Area of the Shaded Region 5-6-35 (15^th Edition)

Area of the Region Enclosed By Two Curves 5-6-61 (15^th Edition)

Area of the Region Enclosed by the Curves 5-6-65 (15^th Edition)

Two Subsections of Equal Area 5-6-75 (15^th Edition)