Help with integrals

[Brycen Sanders]

Hi there!
I will be grateful for your help in solving this calculation.

Evaluate the integral. (Use C for the constant of integration.)

[tex]\int[/tex]ln([tex]\sqrt{x}[/tex])dx

[Math Tutor]

https://www.math10.com/solver/integral- ... %28x%29%29

[nathi123]

If I = [tex]\int ln( \sqrt{x})dx = xln \sqrt{x} - \int \frac{xdx}{ \sqrt{x} .2 \sqrt{x} }=xln \sqrt{x} - \frac{1}{2} \int dx=xln \sqrt{x} - \frac{x}{2} +C[/tex].
We use that [tex]\int fdg=f.g - \int gdf[/tex]

[Guest]

Hi there!
I will be grateful for your help in solving this calculation.

Evaluate the integral. (Use C for the constant of integration.)

[tex]\int[/tex]ln([tex]\sqrt{x}[/tex])dx

How did you start solving this task?

[Guest]

Hi there!
I will be grateful for your help in solving this calculation.

Evaluate the integral. (Use C for the constant of integration.)

[tex]\int[/tex]ln([tex]\sqrt{x}[/tex])dx

Friend, hello. I saw your request here and on another resource and decided to write to you that decided your task. At https://plainmath.net/15991/evaluate-the-integral-use-for-the-constant-of-integration-int-ln-sqrt-dx you can see a complete and detailed explanation and solution of this integral definition.