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Question
Find the integrals of the function:
`(sin^3 x + cos^3 x)/(sin^2x cos^2 x)`
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Solution
`int (sin^3 x + cos^3 x)/(sin^2 x cos^2 x) "dx"`
`= int sin^3x/(sin^2 x cos^2 x) + cos^3/ (sin^2 x cos^2 x) dx`
`= int (sec x tan x + cosec x cot x) dx`
= sec x - cosec x + C
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