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# General Antiderivative: Basic Trig Integrals – Part I

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If $f^{ \prime }\left( x \right) =\sin { x+\sec ^{ 2 }{ x+\sec { x } \tan { x } } }$, the general solution for $f(x)$ is:

A

$\cos { x } +\cot { x } +\sec { x }+C$

B

$\cos { x } +\tan { x } +\sec { x }+C$

C

$-\cos { x } +\tan { x } +\sec { x } +C$

D

$-\cos { x } +\cot { x } -\sec { x } +C$