cole1529 cole1529

14-01-2020
Mathematics

contestada

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

Respuesta :

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

The 19th century ideas of social Darwinism and the white mans burden were often used to justify?

What is the electron configuration of Br, Z=35?

planet ruba has a population of 1 million alien planet Zamba has one hundred thousand million how many more aliens does planet ruba have than planet zamba

Which number is prime? A. 97 B. 14 C. 27 D. 49

Which verb form correctly completes the sentence? During the meeting last night, a number of questions __________. A. had risen B. were raised C. raised D. rose

Who initiated the phrase "manifest destiny"? A. William Henry Harrison B. John L. O'Sullivan C. John Tyler D. James K. Polk

what is 89,170,326 in expanded form?

Which pronoun agrees with the antecedent in the sentence? Everybody forgets __________ umbrella sometimes. A. their B. her C. his D. his or her

Which word in the sentence, if any, should be followed by a comma? Our dog is a retriever which is a type of dog bred for hunting. A. bred B. There is no error

Factor completely: 3x2 + 2x - 1 Answer (3x + 1)(x + 1) (3x + 1)(x - 1) (3x - 1)(x + 1) (3x - 1)(x - 1)