- #1
Spartan029
- 15
- 0
Homework Statement
Let [tex]f[/tex] be twice differentiable with [tex]f(0)=6, f(1)=5, [/tex] [tex] f'(1)=2[/tex]
Evaluate the integral [tex]\int_0^{1}x f''(x) dx[/tex]
Homework Equations
[tex] \int uv' dx = uv = \int u'v dx [/tex]
The Attempt at a Solution
u = x and v' = f''(x)
so
u' = 1dx and v = f'(x)
so
[tex]xf'(x) - \int_0^{1}f'(x) dx[/tex]
from here I am not sure what to do... maybe parts again...
u = 1dx and v' = f'(x)
so
u' = 0? and v = f(x) //derivative of 1dx is 0 right?
so
[tex]xf'(x) - f(x) - \int_0^{1} 0 dx[/tex] ?
i really don't know. any help would be awesome!