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Elements of Calculus with Applications
MATH 1325: Elements of Calculus with Applications. A survey of differential and integral calculus including the study of functions and graphs from a calculus viewpoint as applied to problems in business and the natural and social sciences. Prerequisites: MATH 1314 or equivalent. 3 credit (3 lecture).
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[DOC File]What Is Calculus - St. Francis Preparatory School
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The branch of calculus concerned with both the integral as the limit of a sum and the integral as the antiderivative of a function is known as the integral calculus. The type of integral just discussed, in which the limits of integration, a and b, are specified, is called a definite integral.
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[DOC File]AP Calculus AB
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General vs. Particular Solutions. Basic Integration Rules. Finding Area—Riemann Sums. Finding Area—Number of Rectangles goes to Infinity. Definition of the Definite Integral. Properties of Definite Integrals. 1st Part of the Fundamental Theorem of Calculus. Applications of the Definite Integral. Finding Average Value of a Function
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[DOC File]Indefinite Integrals Calculus
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In problems #3–5, find and under the partition P. In problems #6–8, find the area under the curve using the limit definition of area. from to . from to . from to . In problems #9–10, state whether the function is integrable in the given interval. Give a reason for your answer. on …
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[DOC File]Section 1
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Section 6.1: Areas Between Curves. SOLs: APC.15: The student will apply the definite integral to solve problems. These problems will include finding distance traveled on a line and velocity from acceleration with initial conditions, growth and decay problems, solutions of separable differential equations, the average value of a function, area between curves, volumes of solids of revolution ...
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[DOC File]Indefinite Integrals Calculus
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In problems #1–4, sketch the graph of the function f(x) in the interval [a, b]. Then use the Fundamental Theorem of Calculus to find the area of the region bounded by the graph and the x-axis. (Hint: Examine the graph of the function and divide the interval accordingly.) In problems #5–7 use antiderivatives to compute the definite integral.
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MATH 201 - Ivy Tech Community College of Indiana
7. Apply the integral calculus to find arc length and the area of a surface of revolution. 8. Apply the integral calculus to solve force and work problems. 9. Sketch solution curves of differential equations using the direction field method. 10. Find numerical solutions of initial value problems …
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Integral calculus problems with solutions