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Mathematics
Of or pertaining to the study of the measurement, properties, and relationships of quantities and sets, using numbers and symbols.
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Mathematics > Calculus 
substitution
Mathematics; Calculus
Integration by substitution is one of the most common techniques of integration, used to reduce complicated integrals into one of the basic integration forms.
tangent line
Mathematics; Calculus
The tangent line to a function is a straight line that just touches the function at a particular point and has the same slope as the function at that point.
trigonometric substitution
Mathematics; Calculus
A technique of integration where a substitution involving a trigonometric function is used to integrate a function involving a radical.
antiderivative
Mathematics; Calculus
A function F(x ) is called an antiderivative of a function f(x ) if F'(x ) =; f(x ) for all x in the domain of f . In words, this means that an antiderivative of f is a ...
concave downward
Mathematics; Calculus
A function is concave downward on an interval if f"(x ) is negative for every point on that interval.
concave upward
Mathematics; Calculus
A function is concave upward on an interval if f"(x ) is positive for every point on that interval.
cylindrical shell method
Mathematics; Calculus
A procedure for finding the volume of a solid of revolution by treating it as a collection of nested thin rings.
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