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G galactus Super Moderator Staff member Joined Sep 28, 2005 Messages 7,216 May 23, 2009 #2 \(\displaystyle {-\pi}\int_{0}^{2}t^{2}sin({\pi}t)dt\) Did you try using parts?. Let \(\displaystyle u=t^{2}, \;\ dv=sin({\pi}t)dt, \;\ du=2tdt, \;\ v=\frac{-cos({\pi}t)}{\pi}\) The second integral evaluates to 0, so don't worry about it. Just do this one.
\(\displaystyle {-\pi}\int_{0}^{2}t^{2}sin({\pi}t)dt\) Did you try using parts?. Let \(\displaystyle u=t^{2}, \;\ dv=sin({\pi}t)dt, \;\ du=2tdt, \;\ v=\frac{-cos({\pi}t)}{\pi}\) The second integral evaluates to 0, so don't worry about it. Just do this one.
