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 0.111... a repeating decimal, terminating decimal, or neither?
Which of the following types of graphs is best for plotting the mean, median, and mode of data? bar graph box-and-whisker circle graph stem-and-leaf
The mitochondria of eukaryotic cells release energy from glucose molecules through the process of cellular respiration. before cellular respiration can occur, h
which region has fertile valleys
five reasons why homework should be abolished
Fronts are termed by the temperature of the air mass that overtakes another air mass. A. True B. False
what did the encyclopedia created by diderot contain
the symbol for xenon xe would be part of the noble gas notation for the element
Which areas of the us did the Spanish explore in the 1500s
which number is irrational? a. .33333333 b. .03030303 c. .993993993 d. .131131113...