Integral calculus pdf
[DOC File]Calculus I Syllabus - TTU
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Apr. 7 Q5 Section 5.3 Riemann sums and the definite integral. Apr. 12 Section 5.4 The fundamental theorem of calculus. Apr. 14 Section 5.5 Integration by substitution.
[DOC File]Worksheet – Trapezoidal Rule
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x 0.00 0.25 0.50 0.75 1.00 1.25 1.50 1.75 2.00 y 4.32 4.36 4.58 5.79 6.14 7.25 7.64 8.08 8.14 y = f(x). Approximate the integral . A new park is being designed with a fishing lake included. The lake will be filled from a spill way branched off from the river that winds through the city. The city must keep the cost below $17,000 for building the ...
[DOC File]Indefinite Integrals Calculus
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For a video presentation of the Fundamental Theorem of Calculus (15.0), see Fundamental Theorem of Calculus, Part 1 (9:26). Review Questions. In problems #1–4, sketch the graph of the function f(x) in the interval [a, b]. Then use the Fundamental Theorem of Calculus to find the area of the region bounded by the graph and the x-axis.
[DOCX File]CALCULUS II - SLCC Mathematics Site
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This course is a continuation of the study of differential and integral calculus from M1210. Topics include transcendental functions, integration techniques, improper integrals, infinite sequences and series including Taylor series, some numerical approximation methods, elementary differential equations, and vectors and the geometry of space.
[DOCX File]Microsoft Word Free Math Add-In - Web02
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See an application of the Fundamental Theorem of Integral Calculus on this example, by right clicking within the input line and selecting . Differentiate on x. as shown in Figure 6.4. Figure 6.4 Differentiate on x. The output is: x x 2 -1 .
[DOC File]Volume of Revolution Worksheet
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Disk and Washer Methods (Integrate by hand and double check you work--also practice integrating) 1. Find the volume of the solid of revolution generated by revolving the region bounded by y = 6, y = 0, x = 0, and x = 4 about: (a) the x–axis (452.389) and (b) y–axis (301.593). 2.
[DOC File]AP Calculus AB
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AP Calculus AB. Chapter 4: U-Substitution. Worksheet #3. Find each antiderivative: Answers: AP Calculus AB. Chapter 4: Integration: Bounded . Areas. Worksheet #4 (Area is positive, right?) Find the area bounded by: Answers: 68 256/5. 32/3. 8 12 48 16/3. 2 128/15 AP Calculus AB. Chapter 4: Integration. Worksheet #5 AP Calculus AB Chapter 4 ...
[DOC File]Defining and Computing Definite Integrals
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Talk about finding a definite integral over a function that is not continuous. It depends on how many discontinuities there are and how bad they are. If there are only finitely many and they are removable, then we can find a definite integral. Give an example of how this works. Find where . f(x) = { 1, < x
[DOC File]CALCULUS BC
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On problems 11 - 12, a curve C is defined by the parametric equations given. For each problem, write an integral expression that represents the length of the arc of the curve over the given interval. 11. 12. Answers to Worksheet on Parametrics and Calculus _____
[DOC File]Integration by Substitution
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The integral above has an important geometric interpretation that you need to keep in mind. Recall that, geometrically, the definite integral represents the area under the curve. Similarly, the integral is a definite integral that represents the area under the curve over the interval as the figure below shows.
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