Describe the difference in physical meaning between the definite integral and the…

MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

Describe the difference in physical meaning between the definite integral ∫abv(t) dt\displaystyle\int_a^b v(t)\,dt and the definite integral ∫ab∣v(t)∣ dt\displaystyle\int_a^b |v(t)|\,dt for a particle moving along a line with velocity v(t)v(t).

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