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9 a) Evaluate the indefinite using integrals inte the method of substitution a) (4x+3)(x² + 3x)2⁰ d x

9 a) Evaluate the indefinite using integrals inte the method of substitution a) (4x+3)(x² + 3x)2⁰ d x

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Problem 9: Evaluate the Indefinite Integrals Using the Method of Substitution** **a)** \(\int (4x + 3)(x^2 + 3x)^{20} \, dx\) **b)** \(\int \sin^3(5x) \cos(5x) \, dx\) **c)** \(\int \tan^4 x \sec^2 x \, dx\) --- These integrals involve the application of the substitution method, where one identifies parts of the integrand that can be substituted to simplify integration. The substitution method is particularly useful for integrals with composite functions, allowing transformation into a more straightforward form before integration.
Transcribed Image Text:**Problem 9: Evaluate the Indefinite Integrals Using the Method of Substitution** **a)** \(\int (4x + 3)(x^2 + 3x)^{20} \, dx\) **b)** \(\int \sin^3(5x) \cos(5x) \, dx\) **c)** \(\int \tan^4 x \sec^2 x \, dx\) --- These integrals involve the application of the substitution method, where one identifies parts of the integrand that can be substituted to simplify integration. The substitution method is particularly useful for integrals with composite functions, allowing transformation into a more straightforward form before integration.
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