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

Can someone help me with this wuestion please
Why would a producer conduct a marginal analysis? A. To understand the type of taxes paid on a good or service B. To determine whether a price increase will cha
Where do many of the rivers in China and southeast Asia begin . WILL GIVE BRAINLIEST FOR THE BEST ANSWER . THANKS
Good for the people and the world y good
Kehlani is making a table. All but one of the boards that she uses to make the table are 15/16 inches thick. Kehlani’s last board is 1 1/8 inches thick. By how
How you will differentiate the company from competitors Market Analysis Your mission statement Competitive Analysis Suppliers your company relies on to produce
Mrs. Watson has 30 desks in her math class, each shaped like the trapezoid shown below. She plans to cover each one with bulletin board paper for a project. Wha
What the value of q?
i will give 100 points please help
Dr top here. i am new friends inbox me​