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

When the boys start to play, putting robert in the part of the boar, ralph grabs the spear and jabs at robert with it?

Which specialized cells are responsible for transmitting messages throughout the body? neurons epithelial cells blood cells muscle cells

What are three countries that became communist following the ww2??

How is the tempature related to phsyical change

In an obtuse isosceles triangle the angle measurements are, x∘, x∘, and (10x−2)=128∘. find the measurement of one of the acute angles varsity tutors

Which of the following correctly the number in scientific notation? 0.0000752 A. 7.52 • 10^-6 B. 7.52 • 10^-4 C. 752 • 10^-5 D. 752 • 10^-3 E. 7.52 •10^-5 F. 75

Unsafe and unsanitary work conditions in the early 1900s were a problem leading to the development of

You tell a raunchy joke to your coworker. she becomes offended and files a complaint with her supervisor. where did you go wrong?

what are two reasons you change the tone of a story for?

PLEASE HELP [[99 POINTS!!!!!!}