Integration problem (1 Viewer)

[Sien]

Calculate the area bounded by the graphs of f(x)=x^2, g(x)=x^-2, x>0 and the line x=3
I keep getting 25/3 u^2 but the book says it is 8u^2. Can someone please clarify it for me? Thanks

 

[suika]

Sorry if it's a bit messy/you can't see the numbers well. I tried

EDIT: lmao you can see my hair

 

[FrankXie]

correct solution

 

[photastic]

Sorry if it's a bit messy/you can't see the numbers well. I tried

EDIT: lmao you can see my hair

For step 2, The 2nd and 2nd last line is incorrect, should be a minus of the two big brackets and the functions like Frank pointed out.

 

[suika]

For step 2, The 2nd and 2nd last line is incorrect, should be a minus of the two big brackets and the functions like Frank pointed out.

My bad, thank you both for pointing it out.