![]() If we are lucky enough to find the function on the result side of a derivative, then (knowing that derivatives and integrals are opposites) we have an answer. Which teaches us to always remember "+C". And the increase in volume can give us back the flow rate.The flow still increases the volume by the same amount.The derivative of the volume x 2+C gives us back the flow rate:Īnd hey, we even get a nice explanation of that "C" value. The integral of the flow rate 2x tells us the volume of water: While this might not seem useful at first, calculus is one of the most widely used branches of mathematics in the world. ![]() Calculus is a branch of mathematics that looks at numbers and lines, usually from the real world, and maps out how they are changing.
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