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RE Indefinite integrals Determine the following indefinite

Chapter 4, Problem 51RE

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QUESTION:

Determine the following indefinite integrals.

\(\int\left(\frac{1}{x^2}-\frac{2}{x^{5/2}}\right)\ d x\)

Questions & Answers

QUESTION:

Determine the following indefinite integrals.

\(\int\left(\frac{1}{x^2}-\frac{2}{x^{5/2}}\right)\ d x\)

ANSWER:

Solution Step 1 1 2 In this problem we are going to evaluate the given integral ( x2 x5/2dx In order to evaluate we will be using the following rules. 1. Sum rule: (f +)dx = f dx + gdx 2. Difference rule: (f g)dx = f d g dx 3. Constant multiple rule: cf(x) x = c f(x) dx n xn+1 4. Power rule: x dx n+1 n =/1

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