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Evaluate the indefinite integral. (use C for the constant of integration.) \int \frac{e^x}{(e^x...

Question:

Evaluate the indefinite integral. (use C for the constant of integration.)

{eq}\int \frac{e^x}{(e^x + 7)^5} dx {/eq}

Integrals:

The given indefinite integral is easy to evaluate. Here we can apply the substitution method to simplify the given function and then proceed with the integration to get the result.

Answer and Explanation:


Given {eq}\int \frac{e^x}{(e^x + 7)^5} dx {/eq}

Put,

{eq}\begin{align*} \ & (e^x + 7) = t \end{align*} {/eq}

Differentiating the above, we...

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How to Solve Integrals Using Substitution

from Math 104: Calculus

Chapter 13 / Lesson 5
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