Common derivatives and integrals
[DOC File]Integration by Substitution
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Compute by hand the integrals of a wide variety of functions by using the technique of Improper Integration. Combine this technique with other integration techniques to integrate. Distinguish between proper and improper integrals. The concept of improper integrals is an extension to the concept of definite integrals.
[DOC File]AP Calculus BC Course Outline
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Basic rules for derivatives of sums, products, and quotients of functions. Chain rule and implicit differentiation. Derivatives of parametric, polar, and vector functions. Unit IV: Integrals. Interpretation and properties of definite integrals. Definite integral as a limit of Riemann sums.
[DOCX File]Louisiana State University
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COMMON COURSE NUMBER. CMAT 2115 Calculus I. PRIMARY ONLINE CONTENT SOURCE. C. alculus: ... Use derivatives to find slope locations, tangent lines, and other derivatives. ... Evaluate derivatives of definite integrals. Work with area functions and graphs of area functions. 5.4 . Working with Integrals (17 ...
[DOC File]Calculus I – Math 160
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Derivatives are computed algebraically and using rules of differentiation. The definite integral is interpreted graphically as the area under the curve, evaluated numerically using the limit of a Riemann sum and evaluated analytically using formulas for antiderivatives and integrals. (Meets Program Outcomes (2), (4), (5) and (8)). 3e2.
[DOC File]Integration By Parts
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While substitution helps us recognize derivatives produced by the chain rule, integration by parts helps us to recognize derivatives produced by the product rule. Grade Level/Subject: The lesson is for 12th graders in AP Calculus. ... Summary of Common Integrals using Integration by Parts. 1. For integrals of the form. let u = xn. let dv = eax ...
[DOC File]Radnor High School
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Derivatives of parametric, polar, and vector functions. III. Integrals. ... To provide a common foundation, specific applications should include using the integral of a rate of change to give accumulated change, finding the area of a region (including a region bounded by polar curves), the volume of a solid with known cross sections, the ...
[DOC File]1-D Integration and Centroids
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For definite integrals subtract the value of the integral at the lower limit from its value at the upper limit. For example, if you have the indefinite integral. Note: The following notation is common. Integration by parts: Centroid of an area: The centroid of an area is the area weighted average location of the given area. Centroids of common ...
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