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Question
`int (2 + cot x - "cosec"^2x) "e"^x "d"x`
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Solution
`int (2 + cot x - "cosec"^2x) "e"^x "d"x`
= `int "e"^x [(2 + cot x) - "cosec"^2x] "d"x`
= `"e"^x (2 + cot x) + "c"` .......`[∵ int"e"^x ["f"(x) + "f'"(x)] "d"x = "e"^x*"f"(x) + "c"]`
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