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.
by
Akhil Bansal