What is the integral of x^{ln(3)} ?

The integral of x^{ln(3)} is (x^{ln(3)+1})/(ln(3)+1)+C

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integral of x^{ln(3)}

\int x^{l n (3)} d x

\frac{x ^{l n (3) + 1}}{ln ( 3 ) + 1} + C

Solution steps

\int x^{l n (3)} d x

Apply the Power Rule

: \frac{x ^{l n (3) + 1}}{ln ( 3 ) + 1}

= \frac{x ^{l n (3) + 1}}{ln ( 3 ) + 1}

Add a constant to the solution

= \frac{x ^{l n (3) + 1}}{ln ( 3 ) + 1} + C

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What is the integral of x^{ln(3)} ?
The integral of x^{ln(3)} is (x^{ln(3)+1})/(ln(3)+1)+C