find the area between the curves.
y=log x
y=x
x=1
x=10

Question

find the area between the curves. 
y=log x
y=x
x=1
x=10

amistre64 · Answer

yay!! an easy one :)

amistre64 · Answer

let me draw a pic to see if we got the right interpretation

amistre64 · Answer

attachment

amistre64 · Answer

we integrate y=x between 1 and 10

then subtract y = log(x) between 1 and 10

amistre64 · Answer

$$\int\limits_{1}^{10} (x - \log(x)). dx$$

amistre64 · Answer

x^2         x
---- -  ----- from [1,10] right?
  2        log(x)

anonymous · Answer

yes fro [1,10] 
and thanks for the graph!

amistre64 · Answer

x^2/2 = 100/2 - 1/2 = 99/2

99/2 - (10/log(10) - 1/log(1))

99/2 - (10 - 1/0).... lol; lookslike I forgot how to int my log

anonymous · Answer

thank you so much!

amistre64 · Answer

libraries closing on me so good luck with this one :)

anonymous · Answer

can you please help me with my other questiones i posted :(

amistre64 · Answer

in about 10 minutes maybe; if they aint answered yet... gotta move to a new location :)

anonymous · Answer

okay i will wait thanks!

amistre64 · Answer

log(x) = ln(x)/ln(10)

1/ln(10) is a constant so that gets put to the side for later
 int(ln(x)) = x(ln(x) - 1)

xlnx - x
------- from 1,10
  ln(10)

99/2 - [(10- 10/ln(10)) - (-1/ln(10))] is what i get