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

I need help with this maths question please
An Egyptian mummy is found to contain 60% of its 14C, to the nearest 100 years, how old is the mummy. • 14C is carbon 14 dating
ACTIVITY 1: INTRODUCTION / LITERATURE REVIEW/ BACKGROUND INFORMATIONINTRODUCTION1.1.Explain the following concepts:1.1.1. Human rights violation1.1.2. Freedom o
Por qué los minerales son importantes para la vida
A rocket takes off from Earths surface, accelerating straight up at 35.2 m/s².
What does X equal if X over six equals 3 1/2
¿Cómo se produce la contaminacióndel agua por purines y pesticidas?
Which of the following was a result of ending the encomienda system?O the rebellion of the Pueblothe creation of mestizo culturethe reliance on African slave la
Кузнец делает серебряные подковы. Из одной заготовки ему удается выковать 3 подковы, причем часть материала остается. Затем остатки от ровно 11 заготовок перепл
how do thy plan to spend loter money in case of lotter it