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Question

Mathematics Question on Integration

The value of the integral ex(logx+1x)dx\int e^x (logx + \frac{1}{x})dx is:

A

exlogx+Ce^xlog x + C, Where C is a constant.

B

exlogx+Ce^{-x}log x + C, Where C is a constant.

C

exx+C\frac{e^x}{x} + C, Where C is a constant.

D

exx+C\frac{e^{-x}}{x} + C, Where C is a constant.

Answer

exlogx+Ce^xlog x + C, Where C is a constant.

Explanation

Solution

The correct option is (A): exlogx+Ce^xlog x + C, Where C is a constant.