Maharashtra State BoardHSC Commerce 12th Board Exam
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Evaluate ∫(1+x+x22!)dx - Mathematics and Statistics

Sum

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

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Solution

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

`= int 1 * "dx" + int "x" * "dx" + 1/2 int "x"^2 * "dx"`     .....[Θ 2! = 2]

`= "x" + "x"^2 + 1/2 * "x"^3/3 + "c"`

∴ I = `"x" + "x"^2/2 + "x"^3/6 + "c"`

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