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

Please hurry Interior and Exterior Triangle Angles

Write the ratio as a ratio of whole numbers in lowest terms. $1.80 to $1.20

A truck rental company rents a truck for a one-time fee of $25 plus $1.50 per mile traveled. Kelly has $80 she can spend on the rental truck. Written as a fract

Factor completely x2 − 49. (x − 7)(x − 7) (x 7)(x − 7) (x 7)(x 7) Prime.

what is the answer? :D

What was the farthest east-west distance of Japanese expansion?

What is Matthew Desmond's solution to the housing eviction crises?

Mr. Wash can clean 40 cars every of an hour. Mr. Clean can clean 250 cars every 2 hours. Which car wash cleans more cars per hour? Provide evidence.

What is the relationship between T cells and stem cells?.

N2 + 3H2 - 2NH3 - If 150.0 grams of ammonia were produced how many moles of N2 would be needed? PLEASEEEE HELPPPPPPPP