What is the integral of (ln(x^3))/(ln(x^2)) ?

The integral of (ln(x^3))/(ln(x^2)) is 3/2 x+C

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integral of (ln(x^3))/(ln(x^2))

\int \frac{ln ( x ^{3} )}{ln ( x ^{2} )} d x

\frac{3}{2} x + C

Solution steps

\int \frac{ln ( x ^{3} )}{ln ( x ^{2} )} d x

\frac{ln ( x ^{3} )}{ln ( x ^{2} )} = \frac{3}{2}

= \int \frac{3}{2} d x

Integral of a constant:

\int a d x = a x

= \frac{3}{2} x

Add a constant to the solution

= \frac{3}{2} x + C

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What is the integral of (ln(x^3))/(ln(x^2)) ?
The integral of (ln(x^3))/(ln(x^2)) is 3/2 x+C