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Use the provided substitution.  \n1) ∫ 20xsin (5x2 − 3) dx; u = 5x2 − 3 2) ∫ 16x3 ⋅ sec2 (4x4 − 2) dx; u = 4x4 − 2  \n3) ∫ 6e3xcos (e 3x − 5) dx; u = e 3x − 5 4) ∫ ~~ ~~sec~~ ~~(50x5x2~~ ~~+~~ ~~5)~~ ~~ dx; u = 5x2 + 5  \nEvaluate each indefinite integral.  \n5) ∫ −36x3 sec (3x4 + 3) ⋅ tan (3x4 + 3) dx 6) ∫ −9sec −3x ⋅ tan −3x ⋅ sec2 (sec −3x) dx  \n7) ∫ − ~~ ~~5cos~~ ~~(−~~ ~~4x+~~ ~~ln~~ ~~4x) dx 8) ∫ ~~ ~~csc~~ ~~4x(x43−~~ ~~1)~~ ~~ dx  \nKuta Software-Infinite Calculus Name___________________________________  \nIntegration by Substitution Date________________ Period____  \nEvaluate each indefinite integral. Use the provided substitution.  \n1) ∫ 20xsin (5x2 − 3) dx; u = 5x2 − 3 2) ∫ 16x3 ⋅ sec2 (4x4 − 2) dx; u = 4x4 − 2  \n−2cos (5x2 − 3) + C tan (4x4 − 2) + C  \n3) ∫ 6e3xcos (e 3x − 5) dx; u = e 3x − 5 4) ∫ ~~ ~~sec~~ ~~(50x5x2~~ ~~+~~ ~~5)~~ ~~ dx; u = 5x2 + 5  \n2sin (e 3x − 5) + C 5sin (5x2 + 5) + C  \nEvaluate each indefinite integral.  \n5) ∫ −36x3 sec (3x4 + 3) ⋅ tan (3x4 + 3) dx 6) ∫ −9sec −3x ⋅ tan −3x ⋅ sec2 (sec −3x) dx  \n−3sec (3x4 + 3) + C 3tan (sec −3x) + C  \n7) ∫ − ~~ ~~5cos~~ ~~(−~~ ~~4x+~~ ~~ln~~ ~~4x) dx 8) ∫ ~~ ~~csc~~ ~~4x(x43−~~ ~~1)~~ ~~ dx  \n−5sin (−4 + ln 4x) + C −cos (x4 − 1) + C  \nCreate your own worksheets like this one with Infinite Calculus. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCailAAJhFP1sfc","https://ap.wps.com/l/cbCailAAJhFP1sfc","pdf",29947,"English","# Evaluate Each Indefinite Integral\n## Use the Provided Substitution\n## Apply Integration Constants Where Needed","[{\"question\":\"What is the main task of this worksheet?\",\"answer\":\"Evaluate each indefinite integral using the provided substitution.\"},{\"question\":\"What does the worksheet provide to help with each integral?\",\"answer\":\"Each problem includes a substitution rule expressed as u (e.g., u = 5x^2 − 3).\"},{\"question\":\"What kinds of functions appear in the integrals?\",\"answer\":\"The problems use trigonometric functions (sin, cos, sec, csc, tan, and sec^2) and also include exponential terms such as e^(3x) multiplied by trig functions.\"}]","Integration by Substitution - Worksheet 5 - Integration_Substitution_Trig | PDF",1791426280]