Question

Evaluate the indefinite integral. (Use symbolic notation and fractions where needed. Use C as the constant of integration.) ? 8e^{13x} / ?(1 - e^{26x}) dx =

          Evaluate the indefinite integral.
(Use symbolic notation and fractions where needed. Use C as the constant of integration.)
? 8e^{13x} / ?(1 - e^{26x}) dx =

$Evaluate the indefinite integral. (Use symbolic notation and fractions where needed. Use C as the constant of integration.) ? 8e^13x / ?(1 - e^26x) dx =$

Added by Claudia N.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Madhur L

07/19/2023

Step 1

Let $u = e^{3x}$. Then, $du = 3e^{3x} dx$. We can rewrite the integral in terms of $u$: $$\int \frac{8u}{\sqrt{1 - u^2}} \frac{1}{3} du$$ Simplify the integral: $$\frac{8}{3} \int \frac{u}{\sqrt{1 - u^2}} du$$ Now, let's make another substitution. Let $v = 1 - Show more…

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