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Evaluate ∫(1+x+x22!)dx - Mathematics and Statistics

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Question

Evaluate `int (1 + "x" + "x"^2/(2!))`dx

Evaluate
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Solution

`int (1 + "x" + "x"^2/(2!))`dx

`= int 1  "dx" + int "x"  "dx" + 1/(2!) int "x"^2  "dx"`

`= "x" + "x"^2/2 + 1/(2!) xx "x"^3/3 + "c"`

∴ `"x" + "x"^2/2 + "x"^3/6 + "c"`

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Chapter 5: Integration - EXERCISE 5.1 [Page 119]

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