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∫1tan(x)+cot(x)+sec(x)+csc(x) dx\large \int \dfrac{1}{\tan (x) + \cot (x )+ \sec (x) + \csc( x)} \, dx ∫tan(x)+cot(x)+sec(x)+csc(x)1dx
If the indefinite integral above equals to cos(x)a+sin(x)b+xc \dfrac{\cos (x)}{a} + \dfrac{\sin (x)}{b} + \dfrac{x}{c} acos(x)+bsin(x)+cx for constants a,ba,ba,b and ccc, what is the value of a+b+ca + b + ca+b+c?
Assume we ignore the arbitrary constant of integration.
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