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

No. of diners = 240 Portions of juice served = 4 oz. per diner Size of juice can = 48 oz. How many cases of juice required if there are 8 cans in a case and you
Simplify the question below.
Add.(-x-2)/(9x^2-1)+(-5x+4)/(9x^2-1)
Use Newton's Law of Cooling, T = C + (T0 – C).ekt, to solve the problem. A cup of coffee with temperature 102°F is placed in a freezer with temperature 0°F. Af
IS THIS RIGHT JUST ANSWER YES OR NO
Find the distance between the points (8,5) and (-16,-2)
What is the result of isolating x^2 in the equation below?
Solve the system. -3x + 4y = -22 2x + 7y = 5
PLEASE READ THE PICTURE I PROVIDED!!!! IF ANSWER IS CORRECT ILL GIVe BRANLIEST!!!! Which of the speaker’s actions in the poems best illustrates the historical f
What is the slope of the line whose equation is 5y=x-3