8.3 Using Accumulation Functions and Definite Integrals in Applied ContextsSyllabus2020Topic8.3Level—
CHA-4.D Interpret the meaning of a definite integral in accumulation problems. CHA-4.D.1 A function defined as an integral represents an accumulation of a rate of change. CHA-4.D.2 The definite integral of the rate of change of a quantity over an interval gives the net change of that quantity over that interval. Enduring understanding CHA-4: Definite integrals allow us to solve problems involving the accumulation of change over an interval.
CHA-4.E Determine net change using definite integrals in applied contexts. CHA-4.E.1 The definite integral can be used to express information about accumulation and net change in many applied contexts. Enduring understanding CHA-4: Definite integrals allow us to solve problems involving the accumulation of change over an interval.
Objective notes2 learning objectives—CHA-4.D—Interpret the meaning of a definite integral in accumulation problems• CHA-4.D Interpret the meaning of a definite integral in accumulation problems.• CHA-4.D.1 A function defined as an integral represents an accumulation of a rate of change.• CHA-4.D.2 The definite integral of the rate of change of a quantity over an interval gives the net change of that quantity over that interval.• Enduring understanding CHA-4: Definite integrals allow us to solve problems involving the accumulation of change over an interval.View—CHA-4.E—Determine net change using definite integrals in applied contexts• CHA-4.E Determine net change using definite integrals in applied contexts.• CHA-4.E.1 The definite integral can be used to express information about accumulation and net change in many applied contexts.• Enduring understanding CHA-4: Definite integrals allow us to solve problems involving the accumulation of change over an interval.View