Question

Evaluate the integral. $$ \int \frac{dx}{x\sqrt{\ln(x)}} $$ (Express numbers in exact form. Use symbolic notation and fractions where needed. Use C for the arbitrary constant into C as much as possible.) $$ \int \frac{dx}{x\sqrt{\ln(x)}} = $$

Name: evaluate the integral int fracdxxsqrtlnx express numbers in exact form use symbolic notation and fractions where needed use c for the arbitrary constant into c as much as possible int fracdx 08784
Uploaded: 2020-05-30T23:59:17-08:00
Duration: 56 s
Channel: Amy Jiang
Description: evaluate the integral int fracdxxsqrtlnx express numbers in exact form use symbolic notation and fractions where needed use c for the arbitrary constant into c as much as possible int fracdx 08784

          Evaluate the integral.
$$ \int \frac{dx}{x\sqrt{\ln(x)}} $$
(Express numbers in exact form. Use symbolic notation and fractions where needed. Use C for the arbitrary constant into C as much as possible.)
$$ \int \frac{dx}{x\sqrt{\ln(x)}} = $$

$evaluate the integral int fracdxxsqrtlnx express numbers in exact form use symbolic notation and fractions where needed use c for the arbitrary constant into c as much as possible int fracdx 08784$

Added by Tara R.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Amy Jiang

05/30/2020

Step 1

Let $u = \ln(x)$. Then, the differential $du$ is given by: $$ du = \frac{1}{x} dx $$ Now, we can substitute $u$ and $du$ into the integral: $$ \int \frac{1}{\sqrt{\ln(x)}} \cdot \frac{1}{x} dx = \int \frac{1}{\sqrt{u}} du $$ Show more…

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Evaluate the integral. $$ \int \frac{dx}{x\sqrt{\ln(x)}} $$ (Express numbers in exact form. Use symbolic notation and fractions where needed. Use C for the arbitrary constant into C as much as possible.) $$ \int \frac{dx}{x\sqrt{\ln(x)}} = $$