The correct option is C x+c Let I=∫log_x xdx We know that, log_a a=1 I=∫(1)dx ∴ #160; I=x+c ...

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Definition of Sets

Evaluate ∫l...

Question

Evaluate $\int {log}_{x} x d x$

x (l n (x + 1)) + c

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x (l n (x + 2)) + c

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x + c

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l o g x + c

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Solution

The correct option is C $x + c$
Let $I = \int {log}_{x} x d x$
We know that, ${log}_{a} a = 1$
$I = \int (1) d x$
$∴$ $I = x + c$

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