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Question
Write a value of\[\int e^x \left( \frac{1}{x} - \frac{1}{x^2} \right) dx\] .
Solution
\[\text{ Let I }= \int e^x \left( \frac{1}{x} - \frac{1}{x^2} \right)dx\]
\[\text{ As we know that }\int e^{x} \left\{ f\left( x \right) + f'\left( x \right) \right\}dx = e^x f\left( x \right) + C\]
\[ \therefore I = \frac{e^x}{x} + C\]
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