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Question
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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