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

Studypool's Notebank makes it easy to buy and sell old notes, study guides, reviews, etc.
Click to visit
The Notebank
...
Aug 7th, 2014
...
Aug 7th, 2014
May 28th, 2017
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer