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Unformatted text preview: 4.4 Indefinite Integrals and the Net Change Theorem This slide show was adapted from Greg Kelly, Hanford High School, Richland, Washington ft min minutes A honey bee makes several trips from the hive to a flower garden. The velocity graph is shown below. What is the total distance traveled by the bee? 200ft 200ft 200ft 100ft 200 200 200 100 700 + + + = 700 feet → ft min minutes What is the displacement of the bee? 200ft200ft 200ft100ft 200 200 200 100 100 + = 100 feet towards the hive → To find the displacement (position shift) from the velocity function, we just integrate the function. The negative areas below the xaxis subtract from the total displacement. ( 29 Displacement b a V t dt = ∫ ( 29 Distance Traveled b a V t dt = ∫ To find distance traveled we have to use absolute value. Find the roots of the velocity equation and integrate in pieces, just like when we found the area between a curve and the xaxis. (Take the absolute value of each integral.) Or you can use your calculator to integrate the absolute value of the velocity function....
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This note was uploaded on 12/01/2011 for the course MATH 112 taught by Professor Jarvis during the Fall '08 term at BYU.
 Fall '08
 JARVIS
 Calculus, Definite Integrals, Integrals

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