# Are sine and cosine missing?

Calculus Level 4

$\large \int \dfrac{1}{\tan (x) + \cot (x )+ \sec (x) + \csc( x)} \, dx$

If the indefinite integral above equals to $$\dfrac{\cos (x)}{a} + \dfrac{\sin (x)}{b} + \dfrac{x}{c}$$ for constants $$a,b$$ and $$c$$, what is the value of $$a + b + c$$?

Assume we ignore the arbitrary constant of integration.

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