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[DOC File]AP Calculus AB and BC
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Definite Integrals and Antiderivatives. 1. Order of integration: 2. Zero: 3. Constant Multiple: 4. Sum and Difference: 5. Additivity: 6. Max-Min Inequality: 7. Domination: Average (Mean) Value for Definite Integrals. Connecting Differential and Integral Calculus. Find the value of using the (NINT) function on your calculator. Definite Integrals
antiderivative vs indefinite integral

[DOC File]AP CALCULUS AB
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Chapter 7: Applications of Definite Integrals (12 days) Integral as net change. Displacement vs. distance traveled. Motion on a line. Areas between curves. Differentiate with respect to x and y. Using the integral to find volumes. Cross sections. Revolving around the x axis and y axis. Disc method. Washer method. Shell method. Length of a curve
antiderivative rules

[DOCX File]Weebly
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Unit 7 – Applications of Integrals. Larson 6.1 – area between two curves. Larson 6.2 – volume by disks, washers and known cross-sections. Larson 4.4 – average value. Various -- distance vs. displacement, velocity vs. speed. Unit 8 – Differential Equations. Differential equations and slope fields will be covered using other books in my ...
derivative vs antiderivative

[DOC File]Name:
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Antiderivatives. Properties. Fundamental Theorem of Calculus (two parts) U-substitution. Average value (versus average rate of change from Unit 2) Given graph of f ‘, characteristics of f and f “ graph. Numerical integration – Riemann sums, Trapezoidal sums, Simpson’s rule. Parametric, polar, vector integration
are antiderivatives and integrals the same

[DOC File]New Chapter 3
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Section 5.3 – Definite Integrals and Antiderivatives. Recall that a definite integral is defined as the limit of a Riemann sum. on [a, b]. 1) How would the value of the definite integral be effected if the limits of integration . were reversed?? {Hint: Think in terms of the definition}
antiderivative of an integral

[DOC File]A
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Definite Integrals . Including the connection between an infinite number of rectangles and the integral. Definite Integrals and Antiderivatives . Including all basic antidifferenitaion rules. Average Value / Mean Value Theorem for Integrals, and finding the x value associated with the …
antiderivatives and indefinite integrals

[DOCX File]Loudoun County Public Schools / Overview
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Likewise, integrating a velocity vs time graph will calculate the displacement or distance. Solving physics problems is not the only function of integrals. Integrals, definite integrals in particular, can be used to compute the surface area of different shapes and volumes of solids. The two types of integrals are definite and indefinite.
what is an antiderivative

[DOC File]AP CALCULUS (BC)
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Antiderivatives. Definite/Indefinite integrals Absolute Value (Distance vs. Displacement) U-substitution *No need to go over problems related to Rolle’s Thm, MVT, Intermediate Value Thm, Squeeze Thm
antiderivative example problems

Antiderivative vs Integral - What's the difference? | WikiDiff
In this chapter the connection between antiderivatives and definite integrals is established as we try to solve one of the most famous problems in mathematics, finding the area under a given curve. 9.1 Approximating Area Under a Curve. When it comes to finding the area of basic geometric shapes such as circles, squares, rectangles, triangles ...
antiderivative vs indefinite integral

Antiderivatives vs integrals