find the average values of function over the corresponding intervals 1/x on [1,4]

Question

anonymous · Answer

please ????

tkhunny · Answer

$\dfrac{\int\limits_{1}^{4}\dfrac{1}{x}\; dx}{4-1}$

Are we ringing bells?  Think about a rectangle, but shred the top a little.

anonymous · Answer

i don't know please tell me

anonymous · Answer

average value is integral divided by the length of the path
what @tkhunny said 
$$\frac{1}{3}\int_1^4\frac{1}{x}dx$$

anonymous · Answer

anti derivative of $\frac{1}{x}$ is $\ln(x)$ so you get 
$$\frac{1}{3}\left(\ln(4)-\ln(1)\right)$$

anonymous · Answer

i know the formula for the average but i don't know who i use it in ihis equation

anonymous · Answer

since $\ln(1)=0$ this is $\frac{1}{3}\ln(4)$

anonymous · Answer

1/3 write

anonymous · Answer

please must to solve it by the law (1/b-a)integration fx dx

anonymous · Answer

so how i start to solve

anonymous · Answer

i wrote the complete solution  above

anonymous · Answer

thank you