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Match each general antiderivative with its rule xn+1 а. dx n + 1 dx, n + 1 b. (п + 1)2^+1 С. dx In(a) 2 dx d. x2 e. e* dx f. In|c| g. 0 h. a" In(a) a*+1 i. x +1 j. kx

Match each general antiderivative with its rule xn+1 а. dx n + 1 dx, n + 1 b. (п + 1)2^+1 С. dx In(a) 2 dx d. x2 e. e* dx f. In|c| g. 0 h. a" In(a) a*+1 i. x +1 j. kx

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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**Match each general antiderivative with its rule** 1. \(\int k \, dx\) 2. \(\int x^n \, dx, \, n \neq -1\) 3. \(\int a^x \, dx\) 4. \(\int \frac{1}{x} \, dx\) 5. \(\int e^x \, dx\) **Options:** a. \(\frac{x^{n+1}}{n+1}\) b. \((n+1)x^{n+1}\) c. \(\frac{a^x}{\ln(a)}\) d. \(-\frac{2}{x^2}\) e. \(e^x\) f. \(\ln|x|\) g. \(0\) h. \(a^x \ln(a)\) i. \(\frac{a^{x+1}}{x+1}\) j. \(kx\)
Transcribed Image Text:**Match each general antiderivative with its rule** 1. \(\int k \, dx\) 2. \(\int x^n \, dx, \, n \neq -1\) 3. \(\int a^x \, dx\) 4. \(\int \frac{1}{x} \, dx\) 5. \(\int e^x \, dx\) **Options:** a. \(\frac{x^{n+1}}{n+1}\) b. \((n+1)x^{n+1}\) c. \(\frac{a^x}{\ln(a)}\) d. \(-\frac{2}{x^2}\) e. \(e^x\) f. \(\ln|x|\) g. \(0\) h. \(a^x \ln(a)\) i. \(\frac{a^{x+1}}{x+1}\) j. \(kx\)
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