8.3 using accumulation functions and definite integrals in
TRANSCRIPT
8.3 Using Accumulation functions and Definite integrals in Applied Problems
8.3 Using Accumulation functions and Definite integrals in Applied Problems
Objective:β’ Interpret the meaning of a definite integral in
accumulation problem.
β’ Determine net change using definite integral in applied context.
Vocabs:Rate of change
Definite Integral
Accumulation function
Area under the graph
Definite Integral:
π΄πππ = ΰΆ±π
π
π π₯ ππ₯
ΰΆ±π
π
π π₯ ππ₯ = πβππππ ππ πππ π‘ππππ π < π‘ < π.
πππ‘ππ πππ π‘ππππ = πΌπππ‘πππ ππππ’π + ΰΆ±π
π
π π₯ ππ₯
Note: π π‘ = β²π π‘ ππ‘
