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∫logx dx=xlogx+x+c - Mathematics and Statistics

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Question

`int log x  dx = x log x + x + c`

Options

  • True

  • False

MCQ
True or False

Solution

This statement is False.

Explanation:

The given integral is: `int log x  dx`

Using integration by parts, the correct result is: `int log x  dx = x log x - x+ C`

The given statement: `int log x  dx = x log x + x+ C` is incorrect because of the extra + instead of − before x.

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