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Definite Integrals

Section 4.2 in Stewart's Calculus.

Preclass Learning Objectives:

• Definite integrals calculate the area under a function over an interval.
• Riemann Sums.
• Properties of definite integrals.

Fundamental Theorem of Calculus

Section 4.3 in Stewart's Calculus.

Indefinite Integrals

Section 4.4 in Stewart's Calculus.

Preclass Learning Objectives:

• An indefinite integral of a function is its general antiderivative.
• The definite integral of a rate of change is the net change.

Integration with Substitution

Section 4.5 in Stewart's Calculus.

Preclass Learning Objectives:

• Substitution is the rule for integration which corresponds to the chain rule for differentiation.
• Introduction to integrating with substitution.