Antiderivatives and Differential Equations
PhD. in Mathematics
Norm was 4th at the 2004 USA Weightlifting Nationals! He still trains and competes occasionally, despite his busy schedule.
It is possible to find an integration formula for a function if it is unknown by first taking the derivative. For example, the antiderivative of ex is known to be ex + c, but the antiderivative of ekx is unknown or not immediate.
We know that the derivative of ekx is kekx. So, from this we see that the derivative of ekx/k is k*(1/k)ekx = ekx. From this, you can see that the antiderivative of ekx is ekx/k + c.
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