Preliminary steps The following integrals

Chapter 4, Problem 59E

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QUESTION:

Preliminary steps The following integrals require a preliminary step such as long division or a change of variables before using partial fractions. Evaluate these integrals.

\(\int \frac{d x}{\left(e^{x}+e^{-x}\right)^{2}}\)

Questions & Answers

QUESTION:

Preliminary steps The following integrals require a preliminary step such as long division or a change of variables before using partial fractions. Evaluate these integrals.

\(\int \frac{d x}{\left(e^{x}+e^{-x}\right)^{2}}\)

ANSWER:

Step 1 of 2
Arranging the integral as follows,

  =

  =

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