Calculuspracticechainrule2
.pdf
School
University of Waterloo**We aren't endorsed by this school
Course
MATH 117
Subject
Mathematics
Date
Dec 19, 2024
Pages
2
Uploaded by GeneralSnowEmu37
Mathematics 102: Advanced IntegrationPractice Problems - Practice Problems: Indefinite IntegralsStudy Guide #2Student: _____________________________Date: _______________Learning Objectives:• Understand and apply the chain rule in integration• Recognize and use standard integral patterns• Connect derivatives and integralsStudy Tips:• Practice identifying the appropriate integration rule• Draw a diagram for physics problems when helpfulInstructions:Show all work clearly. Box your final answers. Refer to explanations when needed.Key Integration Rules:∫x^n dx = x^(n+1)/(n+1) + C∫e^x dx = e^x + C∫sin(x) dx = -cos(x) + C∫cos(x) dx = sin(x) + C1.∫sin({}x) dxWork space:2.∫1/x dxWork space:3.∫1x dxWork space:4.∫(uwu)^1 dxWork space:Study Resource - For Educational Use OnlyGenerated: 2024-12-20Reference: Anton, H. Calculus with Analytic Geometry, Integration TechniquesPage 1 of 2
5.∫1/x dxWork space:6.∫x^1 dx + ■Work space:7.∫1/x dxWork space:8.∫x^2 dxWork space:9.∫e^({}x) dxWork space:10.∫■dxWork space:Study Resource - For Educational Use OnlyGenerated: 2024-12-20Reference: Thomas' Calculus, 14th Edition, Chapter 8: IntegrationPage 2 of 2