integration by substitution - Integration by Substitution...

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Integration by SubstitutionSUGGESTED REFERENCE MATERIAL:As you work through the problems listed below, you should reference Chapter 5.3 of the rec-ommended textbook (or the equivalent chapter in your alternative textbook/online resource)and your lecture notes.EXPECTED SKILLS:Know how to simplify a “complicated integral” to a known form by making an appro-priate substitution of variables.PRACTICE PROBLEMS:For problems 1-21, evaluate the given indefinite integral and verify that youranswer is correct by differentiation.1.Z3x2(x3+ 3)3dx2.Z55x+ 3dx3.Z2xcos (x2)dx4.Z4x(x2+ 6)2dx5.Zsec (4x) tan (4x)dx6.Z(3x-5)9dx7.Ze-2xdx8.Zsinxcosx1 + sin2xdx9.Zcscx2cotx2dx10.Z-3x31-x4dx11.Zexx-14cos 4xdx1
12.Z12 + 4x2dx13.Z4x(3 +x2)2dx14.Zx24-x dx.15.Z1q34+x-x2dx(HINT: Complete the square)16.Ze3/xx2dx17.Zexe2x+ 1dx18.Z(sin 4x)(cos 4x)
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Term
Spring
Professor
Falco

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