sssgggg2827 sssgggg2827
  • 02-12-2017
  • Mathematics
contestada

Find a formula for the function f(x) such that f′(x)=(ln(x))^2/x and f(2)=6

Respuesta :

chudung1976
chudung1976 chudung1976
  • 02-12-2017
f(x)= ∫ln²x/x dx= ∫ln²xd(lnx) cause d(lnx)= (lnx)'dx=1/x dx
= ln³x/3 +C with C is constant
In addition, we have f(2)=6, so we have 6=ln³2/3+C
or C= 6- ln³2/3
And f(x)= ln³x/3+  6- ln³2/3
Answer Link

Otras preguntas

jack read 90 pages of a book in six hours. what is the average number of paged he read each hour
Dr. hakim is interested in studying aggression through researching how the structure and function of genes interact with our environment to influence aggressive
Not really sure about this one can someone help plz?
In 1783 the newly formed united states borders went from which ocean to which river?
which is an component of the modern cell theory that was not part of the original cell theory?
you bought a pair of jeans last week for $55. Today you see that the jeans are on sale for $40. what is the percent decrease of the price
Limestone and concentrated h2so4 are reacted togethe
What is the length of xy?
Evaluate the expression 5t + 2m = 7 and t =2 HELPP
Why did george washington read "the crisis" to his troops?