Determine if integral[1,2][x/cbrt(x^3-4x^2+5x-2)]dx is convergent or divergent

[svetlanaz.1]

Determine if the following integral is convergent or divergent.

. . . . .\(\displaystyle \displaystyle \int_1^2\, \dfrac{x}{\sqrt[3]{x^3\, -\, 4x^2\, +\, 5x\, -\, 2\,}}\, dx\)

Please, help.

 

[Deleted member 4993]

Determine if the following integral is convergent or divergent. Please, help.

We do not see any integral!

 

[tkhunny]

Clearly convergent as written.

 

[svetlanaz.1]

Excuse me. I have added a picture

 

[stapel]

Determine if the following integral is convergent or divergent.

. . . . .\(\displaystyle \displaystyle \int_1^2\, \dfrac{x}{\sqrt[3]{x^3\, -\, 4x^2\, +\, 5x\, -\, 2\,}}\, dx\)

What are your thoughts? What have you tried? How far have you gotten? Where are you stuck?

For instance, you started with the definitions and rules for improper integrals (such as here), you graphed the integrand, and... then what?

Please be complete. Thank you!