lecture3_9_13_11

definition of the integral graphically

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Unformatted text preview: ) () ∑ () ∫ () (definition of the integral). Graphically, this is the area under the v-t curve between t1 and t2 2. Integral as an antiderivative - section 2-8 Given the velocity as a function of time ( ), the position as a function of time ( ) is () ∫ () where c is an arbitrary constant. The integral of a function can therefore be defined as an antiderivative – the integral of a function results in a new function, such that when I take the derivative of this new function I end up with the function I am integrati...
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