Common integrals and derivatives
[DOC File]A Mathcad Primer - La Salle University
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Mathcad can solve many problems numerically using common algorithms. As you have already seen, numerical computations are trivial: Integrals are evaluated using a modified Romberg algorithm, a method that is superior to the trapezoidal rule: Numerical derivatives are also easily obtained: Numerical Roots of Equations
[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]Integration by Substitution
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Already know and understand derivatives and know the derivatives of all trig functions. Know and be able to use basic integration techniques. Objectives: Students will be able to use substitution as a method of solving indefinite and definite integrals.
[DOCX File]Louisiana State University
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Find first derivatives of vector-valued functions. Find tangent vectors. Find higher derivatives of vector-valued functions. Compute indefinite integrals. Find the function r that satisfies given conditions. 11.7 Motion in Space (14) Find the velocity and acceleration of objects. Solve problems involving two-dimensional motion.
[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.
[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 ...
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