Because i am new i dont really know how to use the site yet i just click on reply, sorry about that, this might not be the right area to post that kind of question. However what i am asking is this: why is it that (refer to question 4)- you must find the area under the curve, to get the liters , i thought you just had to integrate the dv/dt, which would give you v(t), then just find v(5).
What i am trying to say is, once you integrate dv/dt, you get v(t), v representing the amount of water in the tank, and t the time in minutes. Now, number 4 is asking when t=5, what is the amount in the tank, it seems simple to just sub 5 into the equation and get the amount. Why do you have to find the area under the curve instead ?