Posted by Anonymous on Wednesday, February 2, 2011 at 8:04pm.
v=ds/dt
ds/dt=t^2-6t+8
ds=(t^2-6t+8)*dt
s=integral(t^2-6t+8)*dt
s=(t^3-9t^2+24t)/3+C
s=(t/3)*(t^2-9t+24)+C
s=(t/3)*[(t-9)*t+24)]+C
s=Definite integral betwen(-1,6)
s=(6/3)*[(6-9)*6+24]-(-1/3)*[(-1-9)*(-1)+24]
s=(6/3)*[(-3)*6+24]+(1/3)*[-10*(-1)+24]
s=2*(-18+24)+(1/3)*(10+24)
s=2*6+(1/3)*34
s=12+34/3
s=(36/3)+(34/3)
s=70/3
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