Calculus MTH 250 Lecture 21 Previous Lectures Summary
- Slides: 40
Calculus (MTH 250) Lecture 21
Previous Lecture’s Summary • Trigonometric integrals • Trigonometric substitutions • Partial fractions
Today’s Lecture • Recalls • Improper integrals • Introduction to vectors • Dot product of vectors • Cross product of vectors
Recalls
Recalls
Recalls We use the following identities to evaluate special of trigonometric integrals. Integral Identity
Recalls
Recalls How to find partial fractions: • Linear factors • Power of a linear factor • Quadratic factor, we break it down to partial fractions as follows:
Recalls
Improper integrals
Improper integrals
Improper integrals
Improper integrals
Improper integrals
Improper integrals
Improper integrals
Improper integrals Conti. . Therefore,
Improper integrals
Improper integrals
Improper integrals
Improper integrals
Improper integrals
Improper integrals
Improper integrals
Improper integrals
Improper integrals
Introduction to vectors Coordinate axes and planes. :
Introduction to vectors Distance formula in three dimensions: The distance │P 1 P 2│between the points P 1(x 1, y 1, z 1) and P 2(x 2, y 2, z 2) is
Introduction to vectors
Introduction to vectors
Introduction to vectors
Introduction to vectors
Introduction to vectors
Introduction to vectors
Dot product of vectors
Dot product of vectors
Cross product of vectors
Cross product of vectors
Cross product of vectors
Lecture Summary • Recalls • Improper integrals • Introduction to vectors • Dot product of vectors • Cross product of vectors
- Mth 210
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