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प्रश्न
Evaluate the following.
`int "e"^"x" (1/"x" - 1/"x"^2)`dx
उत्तर
Let I = `int "e"^"x" (1/"x" - 1/"x"^2)`dx
Put f(x) = `1/"x"`
∴ f '(x) = `1/"x"`
∴ I = `int "e"^"x" ["f"("x") + "f" '("x")]` dx
`= "e"^"x" * "f"("x") + "c"`
∴ I = `"e"^"x" * 1/"x" + "c"`
Notes
The answer in the textbook is incorrect.
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