I have no idea how i should solve this problem..
http://snag.gy/L6hWl.jpg
Please help.. I seriously have no idea..
I have no idea how i should solve this problem..
http://snag.gy/L6hWl.jpg
Please help.. I seriously have no idea..
From the definition of dr
$\displaystyle dr= dxi+ dyj+ dzk$
Take the magnitude of dr
$\displaystyle |dr|^2= (dx)^2+ (dy)^2+ (dz)^2$
$\displaystyle (\frac{|dr|}{dt})^2= (\frac{dx}{dt})^2+ (\frac{dy}{dt})^2+ (\frac{dz}{dt})^2$
You can find the values of $\displaystyle \frac{dx}{dt},\frac{dy}{dt} and \frac{dz}{dt}$ in terms of t easily. Then get |dr| on its own and integrate it between t=0 and t=1
Edit. Didnt see that the density wasn't constant.
After you get an expression for dr in the form |dr|=g(t)dt since the density is 1+t find the integral of (1+t)g(t)dt between 0 and 1