Is this the correct solution to the given antiderivative problem?

[joeG215]

Homework Statement

f''(x)=x^-2, x>0, f(1)= 0 f(2)=0 Find f(x)

Homework Equations

The Attempt at a Solution

f'(x)= -x^-1 +C , f(x)= -lnx + Cx + D ... after working out i got:

f(x)= -lnx + (ln2)x - ln2 ... does this seem correct

 

[cristo]

Well, there's an easy way to check whether something is a solution to an equation: substitute it in and see if it satisfies the differential equation!

 

[Avodyne]

Looks right to me.