Norm Prokup

Cornell University
PhD. in Mathematics

Norm was 4th at the 2004 USA Weightlifting Nationals! He still trains and competes occasionally, despite his busy schedule.

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Complicated Indefinite Integrals - Problem 3

Norm Prokup
Norm Prokup

Cornell University
PhD. in Mathematics

Norm was 4th at the 2004 USA Weightlifting Nationals! He still trains and competes occasionally, despite his busy schedule.

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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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