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

What are some general considerations one should keep in mind when selecting protec- tive clothing for use in the shop environment?
is -15 a whole number?
I think that the problem Henry has raised is a major ________ for our society today.
Psychology addresses the full spectrum of human behavior, both the commonplace and the exceptional:
32 rounded to the nearest hundredth
Which presidents are serving during the timeline?
What type of number is square root of prime numbers?
What is Atlcin’s diet and how does it work?
LM is congruent to QP and LM equals 13.5 find QP
Which model calls the consumer a “patient” and the therapist an “interpreter”?