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This theorem allows calculations of area using anti-derivatives. What is The Fundamental Theorem of Calculus?

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There is a c between a and b so that the tangent slope is the same as the secant slope is the conclusion of this theorem. What is The Mean Value Theorem?

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This theorem can be used to show that a continuous function must have a zero on a specific interval. What is the Intermediate Value Theorem?

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What the theorem of integration of even and odd functions says that. is equal to for an odd function. What is Zero?

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This theorem says that What is The Power Rule?

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e raised to this power is equal to 5. What is ln 5?

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What is ? This is the formula to find the derivative of a function at c.

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This is the sum of areas of rectangles whose heights are the outputs of a function. What is a Riemann Sum?

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The product of x and y even though y may vary. What is a definite integral?

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defines this value. What is the average value of f(x) [on the interval from a to b] ?

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is the derivative of this function. What is 1/2 tan (2x)?

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The integral which represents What is ?

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is this. What is ?

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The derivative of this type of function is always a constant. What is a linear function?

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This integral represents the area of a circle of radius 1. What is ?

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This technique determines if a critical point is a relative extrema by checking the concavity at that point. What is the Second Derivative Test?

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This technique generates the formula for exponential growth and is used to solve some differential equations. What Separation of Variables?

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In order to create a simpler integrand, one might use this technique to rewrite the following: What is u-substitution?

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The act of making both sides of an equation into powers. What is exponentiation?

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A simple method used to approximate a definite integral. Even an elementary school student could use this method. What is counting squares?

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This is added to all indefinite integrals. What is a constant?

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This is measured by the Second Derivative of a function. What is concavity?

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A function being differentiable implies that it is this also. What is continuous?

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This allows f(g(x)) to be differentiated. What is the Chain Rule?

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A conditional statement whose if and then parts have been switched. What is the converse of the statement?

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DAILY DOUBLE

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DAILY DOUBLE

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FINAL JEOPARDY

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CALCPARDY

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100 200 300 400 500 200 300 400 500 200 300 400 500 200 300 400 500 Theorem Definitions Derivatives & Integrals Techniques TheLetter C 100 200 300 400 500 F

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Copyright (c) 2003 Brooks/Cole, a division of Thomson Learning, Inc. Integration 5 Antiderivatives Substitution Area Definite Integrals Applications.

Copyright (c) 2003 Brooks/Cole, a division of Thomson Learning, Inc. Integration 5 Antiderivatives Substitution Area Definite Integrals Applications.

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