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Calculus / Calculus: Early Transcendentals 1 / Chapter 4 / Problem 50RE

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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Indefinite integrals Determine the following indefinite

Chapter 4, Problem 50RE

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QUESTION:

Determine the following indefinite integrals.

\(\int\left(x^{8}-3 x^{3}+1\right)\ d x\)

Questions & Answers

QUESTION:

Determine the following indefinite integrals.

\(\int\left(x^{8}-3 x^{3}+1\right)\ d x\)

ANSWER:

Solution Step 1 In this problem we are going to evaluate the given integral (x x + 1)dx 3 In order to evaluate we will be using the following rules. 1. Sum rule: (f +g)dx = f dx + gdx 2. Difference rule: (f g)dx = f dx g dx 3. Constant multiple rule: cf(x) x = c f(x) dx 4. Power rule: x dx n xn+1 n / 1 n+1

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