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ds/dt=14t(5t^2-1)^3
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Explanation & Answer
multiply by dt on both sides
ds=14t(5t^2-1)^3 dt
integrate both sides
s=integral (14t(5t^2-1)^3 dt )
u=5t^2 -1
du=10tdt
s=integral(1.4du(u)^3 )
s=1.4 integral ((u)^3 du)
s= 1.4 (u^4)/4
s=(1.4/4)*(5t^2-1)^4
s=(7/20)*(5t^2-1)^4
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7.What does “cause” mean and why is it an important concept
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