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Tamil Nadu Board of Secondary EducationHSC Commerce Class 12

Integrate the following with respect to x. e[1-12]e(x+1x) - Business Mathematics and Statistics

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Question

Integrate the following with respect to x.

`[1 - 1/2]"e"^((x + 1/x))`

Sum

Solution

=  `int (1 - 1/x^2) "e"^((x + 1/x))  "d"x`

= `int "e"^((x + 1/x)) (1 - 1/x^2)  "d"x`

=  `int "e"^((x + 1/x))  "d" (x + 1/x)`

= `"e"^(x + 1/x) + "c"`

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Indefinite Integrals
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Chapter 2: Integral Calculus – 1 - Exercise 2.3 [Page 32]

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Samacheer Kalvi Business Mathematics and Statistics [English] Class 12 TN Board
Chapter 2 Integral Calculus – 1
Exercise 2.3 | Q 6 | Page 32
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