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a Evaluate the indefinite integrals the method of substitution using dx d) S e) 3 -x ³ 3+xx 1) 40 (x2) Faz sin (Inx) dx X f) Sx √₁-x²³ dx

a Evaluate the indefinite integrals the method of substitution using dx d) S e) 3 -x ³ 3+xx 1) 40 (x2) Faz sin (Inx) dx X f) Sx √₁-x²³ dx

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** Consider the following indefinite integrals. Use the method of substitution to evaluate each one. **d)** \(\int \frac{-x^3}{\sqrt{3+x^4}} \, dx\) **e)** \(\int \frac{\sin(\ln x)}{x} \, dx\) **f)** \(\int x \sqrt{1-x^2} \, dx\) These exercises involve finding antiderivatives using substitution, a fundamental technique in calculus to simplify integration.
Transcribed Image Text:**Problem 9: Evaluate the Indefinite Integrals Using the Method of Substitution** Consider the following indefinite integrals. Use the method of substitution to evaluate each one. **d)** \(\int \frac{-x^3}{\sqrt{3+x^4}} \, dx\) **e)** \(\int \frac{\sin(\ln x)}{x} \, dx\) **f)** \(\int x \sqrt{1-x^2} \, dx\) These exercises involve finding antiderivatives using substitution, a fundamental technique in calculus to simplify integration.
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