Finding the indefinite integral
[DOC File]Quadratic Equations
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In the previous chapter we found how to take an antiderivative and investigated the indefinite integral. In this chapter the connection between antiderivatives and definite integrals is established as we try to solve one of the most famous problems in mathematics, finding the area under a given curve.
[DOC File]Indefinite Integrals Calculus
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Explain how the integral symbol with now limits of integration represents the general antiderivative. Make the connection that without any initial conditions; a slope field produces a family of functions. With indefinite integrals, all answers will end with + C in order to account for all the members of these families. Give an example.
[DOC File]Simple Rules for Differentiation
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2. Integrals: There are two important aspects to integrals. These are called indefinite integrals and definite integrals. Indefinite integrals (or anti-derivatives): This is the process of recovering a formula from its derivative. For example, finding an object's position when one is given the velocity v as a function of time t, i.e. v = f(t).
[DOC File]Computing Indefinite Integrals
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The process of antidifferentiation is often finding the indefinite integral. The integral that we find is indefinite because we are unable to determine which of the multiple functions produced the derivative we started with. These multiple functions are often referred to as a class of function and they only differ by the addition of a constant ...
Calculus I - Indefinite Integrals
In #4–7, find the indefinite integral . Solve the differential equation . Find the antiderivative of the function that satisfies . Evaluate the indefinite integral . (Hint: Examine the graph of.) Review Answers Indefinite Integrals Practice. Verify the statement by showing that the derivative of the right side is equal to the integrand of the ...
[DOC File]Vectors and Vector Operations - University of Michigan
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The process of finding an indefinite integral of a given function is called integration of the function. It follows from the above discussion that integrating a function means finding a function such that . 5.2 Comparison between Differentiation and Integration . (1) Differentiation and integration both are operations on functions and each ...
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