Find the antiderivative of the given derivative

Mathematics
Tutor: None Selected Time limit: 1 Day

ds/dt=14t(5t^2-1)^3

Aug 7th, 2014

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

Aug 7th, 2014

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