Integration-2

Calculus Level pending

If \(\large \displaystyle \int{\dfrac{dx}{(\sin x)(\cos x)^2}}\) is equal to

\(\dfrac{a}{b} \sec x +\dfrac{c}{d} \ln \tan \dfrac{x}{e}+z\) where \(z\) is integration constant where \(a,b,c,d\) are least possible natural numbers.

Then the value of \(a+b+c+d+e\) is

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