Evaluate the indefinite integrals in Exercises

Chapter 5, Problem 14E

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QUESTION:

Evaluate the indefinite integrals in Exercises 1–16 by using the given substitutions to reduce the integrals to standard form.

                          \(\int \frac{1}{x^{2}} \cos ^{2}\left(\frac{1}{x}\right) d x, \quad u=-\frac{1}{x}\)

Equation Transcription:

Text Transcription:

Integral 1/x^2 cos^2 (1/x) dx,  u=-1/x

Questions & Answers

QUESTION:

Evaluate the indefinite integrals in Exercises 1–16 by using the given substitutions to reduce the integrals to standard form.

                          \(\int \frac{1}{x^{2}} \cos ^{2}\left(\frac{1}{x}\right) d x, \quad u=-\frac{1}{x}\)

Equation Transcription:

Text Transcription:

Integral 1/x^2 cos^2 (1/x) dx,  u=-1/x

ANSWER:

SOLUTION

Step 1 of 3

Here, we have to evaluate the given integrals using the given substitutions.

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