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Question
Integrate the following functions with respect to x :
cot2x + tan2x
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Solution
`int cot^2x + tan^2x`
= `int ("cosec"^2x - 1 + sec^2x - 1) "d"x`
= `int("cosec"^2x + sec^2x - 2) "d"x`
= `int "cosec"^2x "d"x + int sec^2x "d"x - int2 "d"x`
= – cot x + tan x – 2x + c
= tan x – cot x – 2x + c
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