∫(2+cotx-cosec2x)ex dx - Mathematics and Statistics

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Sum

`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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Chapter 2.3: Indefinite Integration - Very Short Answers

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