Integrate the following functions w.r.t. x : ex.(1x-1x2) - Mathematics and Statistics

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Sum

Integrate the following functions w.r.t. x : `e^x .(1/x - 1/x^2)`

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Solution

Let I = `int e^x .(1/x - 1/x^2).dx`

Let f(x) = `(1)/x`

∴ f'(x) = `-(1)/x^2`

∴ I = `int e^x[f(x) + f'(x)].dx`

= ex f(x) + c

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

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Chapter 3: Indefinite Integration - Exercise 3.3 [Page 138]

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