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

Which RNA base binds with thymine found in DNA?​
a. The ratio between the lengths of two pieces of lumber is 2:3. The longer piece is 21 ft long. How long is the shorter piece? Help me please
What was Tsar Nicholas II’s reaction to the March Revolution? A. He restructured the government. B. He established the Duma. C. He was assassinated. D. He abdi
Which of the following would provide the best assessment of the parent material of a soil? O horizon A horizon B horizon D horizon
Underline the word in each sentence that contains a Greek or Latin suffix. Carter's team studied methods of soil management. Carver freed the south from it's de
what are the importance of honey​
pls help me with this question . I dont understand.. ​
Match the vocabulary word to the definition. (Thirteen Colonies Vocabulary)
Find the area of this triangle. 7 19° 12 ? ] square units Round to the nearest tenth.
NEED HELP URGENTLY PLEASE State at least three effects of the industrial revolution that influenced global reforms between 1877 to 1922.