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Popular >

integral of xln(2)

Solution

\int x ln (2) d x

Solution

\frac{1}{2} ln (2) x^{2} + C

Solution steps

\int x ln (2) d x

Take the constant out:

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

= ln (2) \cdot \int x d x

Apply the Power Rule

: \frac{x ^{2}}{2}

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

Simplify

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

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

Add a constant to the solution

= \frac{1}{2} ln (2) x^{2} + C

Graph

Popular Examples

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\int \frac{x ^{2}}{x ^{2} + x + 56} d x

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\int e^{6 x} sin (e^{3 x}) d x

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\frac{d}{d x} (2 x - x^{2})

integral of e^xsqrt(25+e^x)

\int e^{x} 25 + e^{x} d x

Frequently Asked Questions (FAQ)

What is the integral of xln(2) ?
The integral of xln(2) is 1/2 ln(2)x^2+C