Primitive of Product of Secant and Tangent

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Theorem

$\displaystyle \int \sec x \tan x \rd x = \sec x + C$

where $C$ is an arbitrary constant.


Proof

From Derivative of Secant Function:

$\dfrac \d {\d x} \sec x = \sec x \tan x$

The result follows from the definition of primitive.

$\blacksquare$


Sources