Answer: Preliminary steps The following integrals require

Chapter 4, Problem 54E

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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.

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

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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.

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

ANSWER:

SOLUTION

Step 1

We need to solve

Let us use the substitution method here.

Let

Therefore

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