$\cfrac{{{{\sin }^3}x + {{\cos }^3}x}}{{{{\sin }^2}x{{\cos }^2}x}}$
$\cfrac{{{{\sin }^3}x + {{\cos }^3}x}}{{{{\sin }^2}x{{\cos }^2}x}}$
Official Solution
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NCERT & Exemplar
: Let $I = \int {\cfrac{{{{\sin }^3}x + {{\cos }^3}x}}{{{{\sin }^2}x{{\cos }^2}x}}} dx$
$= \int {\left( {\cfrac{{{{\sin }^3}x}}{{{{\sin }^2}x{{\cos }^2}x}} + \cfrac{{{{\cos }^3}x}}{{{{\sin }^2}x{{\cos }^2}x}}} \right)} dx$
$= \int {\left( {\sec x\tan x + \cos ec\,x\cot x} \right)dx} = \sec x - \cos ec\,x + C$
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