Question 1042692
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The rate filled a tank with water is represented by the the equation r(t)=6t^2+3t-2 gallons per second. 
how many gallons of water will be in the tank for the first 5 seconds?
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Integral of r(t) from 0 (zero) to 5 seconds.


Which is V(t) = {{{2t^3 + 1.5t^2 - 2t}}} at t = 5.


Which is {{{2*5^3 + 1.5*5^2 - 2*5}}} =  2*125 + 1.5*25 - 10 = 277.5 gallons.
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