cole1529 cole1529
  • 14-01-2020
  • Mathematics
contestada

Find the value of the integral that converges.
∫^[infinity]_10 x^-1 dx.

Respuesta :

LammettHash
LammettHash LammettHash
  • 14-01-2020

This integral diverges.

[tex]\displaystyle\int_{10}^\infty\frac{\mathrm dx}x=\lim_{t\to\infty}\ln|x|\bigg|_{10}^t=\lim_{t\to\infty}\ln t-\ln10=\infty[/tex]

Answer Link

Otras preguntas

What is 9/20 divided by 3/4
Which one of the following occupations is more likely to receive a compensating wage? a. teacher b. janitor c. high rise window washer d. rock star e. waitress
how to write an informative essay on the importance of the English language​
What is one scientific reproductive technology that benefits livestock producers? How does the technology benefit the producer?
covert 12 into a percent of 100
What does sensitive information mean ? Use in your own words.
when did the 10th present die
Determine whether the points lie on straight line. a. A(2, 5, 3), B(3, 7, 1), C(1, 4, 4) b. D(0,-5,5), E(1,-2,4), F(3,4,2)
The city ordinances for Toon Town require a 25` front setback, a 20` rear setback, and 15` side setbacks. Your property measures 100` length (depth) X 90` width
Luisa talked with her parents about paying for her college education. Her education is important to all of them, so they are developing a plan together. Which