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MAT195 Study Notes

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Department
Mathematics
Course
MAT223H1
Professor
Tony Davis
Semester
Fall

Description
Chapter 8 Techniques of Integration ▯ ▯ u ▯ dv = u ▯ v ▯v ▯ du Trig Integrals - REVIEW 1 sinAcosB = 2[sin(A ▯ B) + sin(A + B)] 1 sinAsinB = 2[cos(A ▯ B) ▯ cos(A + B)] cosAcosB = 1 [cos(A ▯ B)] + cos(A + B)] 2 Trig Substitution p a ▯ x 2 x = a ▯ sin▯ p a + x2 x = a ▯ tan▯ p 2 2 x ▯ a x = a ▯ sec▯ Chapter 9 - Further Applications of Integrtion Arc Length ▯ a p 2 S = 1 + [f0(x)] dx b Areas of Surface Revolution ▯ a p A = 2▯f(x) 1 + [f0(x)] dx b Applications for Physics and Engineering Look up examples ▯ a ▯A = x ▯ f(x)dx
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