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2. Find the anti-derivative of a. f(x) = 2x¹ - 5√√x³7−2e* ++ 3 1 1+x²

2. Find the anti-derivative of a. f(x) = 2x¹ - 5√√x³7−2e* ++ 3 1 1+x²

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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**2. Find the anti-derivative of** a. \( f(x) = 2x^4 - 5\sqrt[5]{x^3} - \frac{7}{3} - 2e^x + \frac{6}{x} + \frac{1}{1+x^2} \) b. \( f(x) = -3\sin x - 2\cos x + 6\csc^2 x - 8 \csc x \cot x \) **Explanation:** For each function \( f(x) \), the task is to determine the anti-derivative or integral with respect to \( x \). This involves integrating each term separately.
Transcribed Image Text:**2. Find the anti-derivative of** a. \( f(x) = 2x^4 - 5\sqrt[5]{x^3} - \frac{7}{3} - 2e^x + \frac{6}{x} + \frac{1}{1+x^2} \) b. \( f(x) = -3\sin x - 2\cos x + 6\csc^2 x - 8 \csc x \cot x \) **Explanation:** For each function \( f(x) \), the task is to determine the anti-derivative or integral with respect to \( x \). This involves integrating each term separately.
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