Integrals of exponential functions

    • [DOC File]Section 1

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      Section 7.4: Integration of Rational Functions by Partial Fractions. SOLs: APC.13: The student will find the indefinite integral of algebraic, exponential, logarithmic, and trigonometric functions. The special integration techniques of substitution (change of variables) and integration by parts will be included.

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    • Elements of Calculus with Applications

      Find integrals, either approximate and exact, of some algebraic and exponential functions, and use integrals to solve applied problems. 3.1 Find antiderivatives for indefinite integrals and find indefinite integrals using substitution. 3.2 Given a definite integral, find the area under the curve. ...

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    • [DOC File]Integration by Parts

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      T = Trigonometric Functions (Primarily sine and cosine.) E = Exponential Functions. Examine the two functions in the integrand. However they order themselves in the word LIATE choose the function on the left to be u and the other function (the right) to be dv. In the integral before the two function were x (algebraic) and (exponential).

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    • [DOC File]Inverse Functions

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      Derivatives of Exponential Functions. Example 9: Find the derivative of . Solution: Applying the rule for differentiating an exponential function, Example 10: Find the derivative of . Solution: Since . Example 11: Find if . where and are constants and . Solution: We apply the exponential derivative and the Chain Rule: Integrals Involving ...

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    • [DOCX File]VOCABULARY: integration by parts, trigonometric ...

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      Polynomial functions and equations. Students will understand: How to evaluate integrals using subsitution, trigonometric identities, integration by parts, trigonometric substitution, and partial fraction decomposition. Students will also learn to evaluate limits using L'Hospital's Rule and how to evaluate improper integrals.

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    • [DOC File]Indefinite Integrals Calculus

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      8 Integrating Exponential Functions p.54 9 Integrating Exponential Functions p.55-57 (Worksheet) 10 Integrating Rational Functions p.58 11 Integrating Rational Functions p.59-61 (Worksheet) 12 ... In the Lesson on Indefinite Integrals Calculus we discussed how finding antiderivatives can be thought of as finding solutions to differential ...

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    • [DOCX File]MSCC Syllabus Template

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      Perform integrations of functions which have logarithmic solutions.Integrals will be both definite and indefinite. Define and explore the idea of inverse functions (optional) To learn the relationship between exponential and logarithmic functions, graph exponential functions, and solve for x in exponential equations (optional)

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    • [DOCX File]VOCABULARY: Area, definite integral, Riemann Sum ...

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      Exponential functions and equations; Quadratic functions and equations; Polynomial functions and equations; Algebraic properties, processes and representations; ... Definite Integrals, the Fundamental Theorem as a method to find the Derivative of an Integral, the relationship between integrals and derivatives, how to estimate Areas using the ...

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    • [DOC File]AP CALCULUS AB

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      Larson 4.4 – mean value theorem for integrals. Larson 4.4 - Fundamental Theorem of Calculus. Larson 4.3 – properties of definite integrals. Various -- functions defined by integrals, second fundamental theorem, accumulation function. Unit 6 – Exponential and Logarithmic Equations

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    • [DOCX File]Department of Mathematics

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      Logarithms and Exponential Functions with applications, Integral Techniques and application of Integrals, Techniques and applications of Integrals, Multivariate Calculus. Prerequisites. Math 1153. Co-requisites: Required Text: Applied Calculus for the Managerial , Life and Social Sciences, 8. th.

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