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1. [-/0.16 Points] DETAILS SCALCET9 7.5.AE.004. 0/100 Submissions Used Example 4 Video Example Evaluate the integral. $\int \frac{dx}{x\sqrt{\ln(5x)}}$ We substitute $u = \ln(5x)$ because its differential is $du = \text{} dx$, which occurs in the integral. We have the following. $\int \frac{dx}{x\sqrt{\ln(5x)}} = \int \frac{1}{\sqrt{u}} du = \int \text{} du$ $= 2u^{\text{}} + C$ $= 2(\ln(5x))^{\text{}} + C$ Need Help? Read It Submit Answer

          1. [-/0.16 Points]
DETAILS SCALCET9 7.5.AE.004. 0/100 Submissions Used
Example 4
Video Example
Evaluate the integral.
$\int \frac{dx}{x\sqrt{\ln(5x)}}$
We substitute $u = \ln(5x)$ because its differential is $du = \text{________} dx$, which occurs in the integral. We have the following.
$\int \frac{dx}{x\sqrt{\ln(5x)}} = \int \frac{1}{\sqrt{u}} du = \int \text{________} du$
$= 2u^{\text{________}} + C$
$= 2(\ln(5x))^{\text{________}} + C$
Need Help? Read It
Submit Answer

1. [-/0.16 Points]
DETAILS SCALCET9 7.5.AE.004. 0/100 Submissions Used
Example 4
Video Example
Evaluate the integral.
∫(dx)/(x√(ln(5x)))
We substitute u = ln(5x) because its differential is du = dx, which occurs in the integral. We have the following.
∫(dx)/(x√(ln(5x))) = ∫(1)/(√(u)) du = ∫ du
= 2u^ + C
= 2(ln(5x))^ + C
Need Help? Read It
Submit Answer

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