cezzypezzyceezy4507 cezzypezzyceezy4507
  • 13-01-2020
  • Mathematics
contestada

Determine whether the improper integral converges or diverges, and find the value if it converges.

[infinity]
∫ 3/2x^2. dx
5

Respuesta :

aristeus aristeus
  • 14-01-2020

Answer:

Integral will be diverging in nature

Step-by-step explanation:

We have given integral [tex]\int_{5}^{\infty}\frac{3}{2}x^2dx[/tex]

Now after solving the integral

[tex][\frac{3}{2}\frac{x^3}{3}][/tex] limit from 5 to infinite

So [tex][\frac{3}{2}\frac{\infty^3}{3}]-[\frac{3}{2}\times \frac{5^3}{3}]=\infty[/tex]

As after solving integral we got infinite value so integral will be diverging in nature

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