(MTH 250) Lecture 19 Calculus. Previous Lecture’s Summary Definite integrals Fundamental theorem of calculus Mean value theorem for integrals Fundamental.

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Presentation transcript:

(MTH 250) Lecture 19 Calculus

Previous Lecture’s Summary Definite integrals Fundamental theorem of calculus Mean value theorem for integrals Fundamental theorem of calculus II Integrating a rate of change

Today’s Lecture Recalls Substitution for definite integrals Integration by parts Area bounded by curves

Theorem: Theorem: Recalls

Recalls

Recalls

Examples: Solution: Recalls

Recalls

Recalls

Substitutions for definite integrals

Integration by parts

Area bounded by curves

Lecture Summary Substitution for definite integrals Integration by parts Area bounded by curves

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