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Original

Suppose {{MATH_238}} is the (continuous) velocity function of an object traveling along a straight line during the interval {{MATH_239}}, which has position function {{MATH_240}}. The displacement of the object can be found in two ways: {{CMD_241}} {{CMD_242}} As {{MATH_243}} and {{CMD_244}} As a definite integral {{MATH_245}}. {{CMD_246}} In particular, the definite integral of a velocity function can be calculated by finding the distance function: {{MATH_247}} {{CMD_248}}

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