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

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

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

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

\frac{x ^{3}}{3 ln ( 2 )} + C

Solution steps

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

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= \frac{1}{ln ( 2 )} \cdot \int x^{2} d x

Apply the Power Rule

: \frac{x ^{3}}{3}

= \frac{1}{ln ( 2 )} \cdot \frac{x ^{3}}{3}

Simplify

\frac{1}{ln ( 2 )} \cdot \frac{x ^{3}}{3} : \frac{x ^{3}}{3 ln ( 2 )}

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

Add a constant to the solution

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

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