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

Answer Link

Otras preguntas

What does "sensory details" mean?
A quantity of gas weighing 7.1 g at 741 torr and 44 celius occupies 5.41 L. Find its molar mass.
A company puts up a billboard every 4 miles along 432 miles of highway. How many billboards does the Company put up?
How many sides does a regular polygon have that has an angle of rotation equal to 18 degrees.
Because DNA is unique, DNA (blank) can identify the unique patterns in a individual's DNA and help solve crimes.
Calculate the potential energy of 5kg object sitting on a 3m ledge.
evaluate for the given value of the variable 7/8 x c for c = 8
PLEASE HELP ALGEBRA 21. After 3 years, what is the total amount of an investment of $2500 in an account paying 2.5% interest, compounded quarterly? 2. What is t
71.1 - 2.27 × (4.64 - 2.64)4
-2/5 to the power of 2