MATH1021 Lecture Notes - Lecture 9: Riemann Sum, Riemann Integral, Farad

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A particle moves then at at with ve. 8 what is (a) ( b ) net net displacement distance travelled of consider. How do we compute the ( signed ) area under the curve ? idea. N subinterval of equal so each length . subinterval xi is. D f- i ii ) t approx . area under xi y=fcx ) xi to from them-as * 3 f st st cts on fxi xi. Max min f- cxi is mi gdebuahminn xi on i f- Ln= , mis x area y=f( x ) under from a tob. = s e r then a to by b is squeeze. S theorem the ( signed ) area under y=fcx ) from. Riemann over a is integral or definite integral fba f ( x ) dx. Riemann integrable cts fn "s fn "s with finite jump discontinuities on but. Is f ( x ) x ( riem . ) integrable on.

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