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

Question

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 :

Otras preguntas

Which sequence is generated by the function f(n 1) = f(n) – 2 for f(1) = 10? (a) –10, –12, –14, –16, –18, ... (b) –2, 8, 18, 28, 38, ... (c) 8, 18, 28, 38, 48,

Choose the answer. Which best describes the falling action of a story?

Mechanisms to bring an elevated body temperature down to the normal level include

I don't know how to graph y=6/5x+1 can someone help me?

From net earnings of $740 per month, Lisa Jones must spend $200 for her portion of the rent on an apartment she shares with two friends. What percent of her net

is it better to do an online class over summer for high school ( to prep for high school) or just wait and why do you think this?

which is more reactive, Rubidium or Hydrogen?

According to McClelland's Acquired Needs Theory, the need for __________ reflects an individual's desire to surpass others or accomplish something difficult.A.

I need help on this question and every time I get help on this question some people get it wrong. can someone give me the right answer, please?

chudung1976 chudung1976 · Answer 1 · 2017-12-02T14:25:48+01:00

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