What is the integral of (ln(x))/(ln(sqrt(x))) ?

The integral of (ln(x))/(ln(sqrt(x))) is 2x+C

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integral of (ln(x))/(ln(sqrt(x)))

\int \frac{ln ( x )}{ln ( x )} d x

2 x + C

Solution steps

\int \frac{ln ( x )}{ln ( x )} d x

\frac{ln ( x )}{ln ( x )} = 2

= \int 2 d x

Integral of a constant:

\int a d x = a x

= 2 x

Add a constant to the solution

= 2 x + C

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What is the integral of (ln(x))/(ln(sqrt(x))) ?
The integral of (ln(x))/(ln(sqrt(x))) is 2x+C