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Calculuspracticequickpractice7

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School
University of Waterloo**We aren't endorsed by this school
Course
MATH 117
Subject
Mathematics
Date
Dec 19, 2024
Pages
3
Uploaded by GeneralSnowEmu37
MATH 201: Calculus IIPractice Problems - Practice Problems: Indefinite IntegralsStudy Guide #7Student: _____________________________Date: _______________Learning Objectives:• Practice integration with coefficients• Recognize and use standard integral patterns• Master the power rule for integrationStudy Tips:• Practice identifying the appropriate integration rule• Remember that integration and differentiation are inverse operationsInstructions: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.∫x^{} dx + ■Work space:2.∫x^{} dx + ■Work space:3.∫tan(x) dxWork space:4.Peppa Pig is trying to debug 4 quantum entangled memes but keeps getting distracted by 2 more quantum entaWork space:5.∫{}x^{} dxWork space:6.Due to 3 recursive calls in the cloud (literally), Your Mom's Credit Card is experiencing stack overflow at a raWork space:Study Resource - For Educational Use OnlyGenerated: 2024-12-20Reference: MIT OpenCourseware: Single Variable CalculusPage 1 of 3
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7.∫1/x dxWork space:8.∫3x dxWork space:9.∫x^{} dx + ■Work space:10.∫sin(3x) dxWork space:11.∫sin({}x) dx + ■Work space:12.A force of 2x^1 Newtons is applied over a distance. Calculate the work done from x=0 to x=2.Work space:13.∫cos({}x) dxWork space:14.∫e^(1x) dxWork space:Study Resource - For Educational Use OnlyGenerated: 2024-12-20Reference: Thomas' Calculus, 14th Edition, Chapter 8: IntegrationPage 2 of 3
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15.∫(uwu)^4 dxWork space:Study Resource - For Educational Use OnlyGenerated: 2024-12-20Reference: MIT OpenCourseware: Single Variable CalculusPage 3 of 3
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