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

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

Write equation in function form 4x+y=10

Which two countries were the first to declare war on Germany in WWII?

What are the two largest ethnic groups in the united states today?

what is the solution to 1/3(s-2)=s+4

The force between a pair of 0.001 C charges is 200 N. What is the distance between them?

If -2(3y+5)=-4, find the value of 5y

Anyone know how to do this kind of algebra? Compute the discriminants of the next two quadratic equations. Compare the result in (A) to that in (B). What do y

Anyone know how to do this kind of algebra? Compute the discriminants of the next two quadratic equations. Compare the result in (A) to that in (B). What do y

How does the saguaro cactus take advantage of rare, brief rainfall?

For this assessment, you will be taking Newton’s laws and describing how they are illustrated in a specific event. You only need to choose one of the options pr