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

is a pair of scissorrs a lever and wedge?
State what additional information is required in order to know that the triangles are congruent for the reason given. MULTIPLE CHOICE refer to attachment I WILL
If researchers measure an individual's self-esteem at ages 10, 20, 30, and 40 years, where are they likely to find the most stability
what part do negative feelings play in subjective well-being?
Neurotransmitters are released from the O synaptic knob/terminals O synapse O dendrites O collaterals​
What was the influence of John Locke
In 6 minutes, Latoya can type 18 words. What is her rate in words per minute?
-23-10x ≤ 47 (Solving two step inequalities)
According to henderson, what are three changes that happened in oklahoma during the 1910s and 1920s?.
plz hurry less then 5 min PLZ Which of these statements from The Diary of Anne Frank reflects a conflict between two characters? Mrs. Van Daan: No! No! No! Don’