Application of integral calculus pdf
[DOC File]Calculus I Syllabus - Mathematics & Statistics
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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]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.
[DOCX File]Mirpur University of Science and Technology
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Differential and Integral Calculus. Complex Numbers and Analytic Geometry. Infinite series, differential equations Laplace transform. (a) Linear Programming and application of the Differential Calculus (b) Application of the Integral Calculus. 2. B-Course of Mathematics. Group Theory and Linear Algebra. Vector Analysis and Statics.
[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 ...
[DOCX File]Department of Mathematics
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Credit 3 semester hours. Derivatives, Curving, Sketching, and optimization techniques for differentiation. Logarithms and Exponential Functions with applications, Integral Techniques and application of Integrals, Techniques and applications of Integrals, Multivariate Calculus
[DOC File]Microsoft Word - 2. I Sem.doc
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Complex integration – Statement and applications of Cauchy’s integral theorem and Cauchy’s integral formula – Taylor and Laurent expansions – Singular points – Residues – Residue theorem – Application of residue theorem to evaluate real integrals – Unit circle and semi-circular contour (excluding poles on …
[DOCX File]Microsoft Word Free Math Add-In
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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]Unit 8: Area Between Curves and Applications of Integration
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In the last chapter, we introduced the definite integral to find the area between a curve and the axis over an interval In this lesson, we will show how to calculate the area between two curves. Consider the region bounded by the graphs and between and as shown in the figures below.
[DOC File]Interdisciplinary Programs Involving Mathematics
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Their application and utility in actual life should also be mentioned side by side. The connected games and activities should be referred to. ... on Mathematics. The most important equations of mechanics, astronomy and the physical sciences are differential or integral equations, both outgrowths of Calculus. ... Calculus, Fourier analysis ...
[DOC File]Indefinite Integrals Calculus
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This application of the Fundamental Theorem becomes more important as we encounter functions that may be more difficult to integrate such as the following example. Example 5: Use the Fundamental Theorem to find the derivative of the following function: Solution: In this example, the integral is more difficult to evaluate.
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