Assume the reader understands derivatives, and knows the definition of instantaneous velocity (dx/dt), and knows how...

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Basic Math

Assume the reader understands derivatives, and knows thedefinition of instantaneous velocity (dx/dt), and knows how tocalculate integrals but is struggling to understand them. Usestudentsâ€™ prior knowledge to provide an explanation that includesthe concept and physical meaning of the integral of velocity withrespect to time.

Reminder: The user is comfortable with the calculations, but isstruggling with the concept. To fully address the prompt, emphasizethe written explanation in English over the calculation.
Do not want hand written answer and do not copy paste. Pleasetype. Thanks.

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4.4 Ratings (569 Votes)

As the reader understand derivative In this case it is rate change of position in time As reader comfortable with calculas so simply integration is nothing but a area ie total area covered by the curve And definite integral is area covered See Answer

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