What is the integral from 1 to 4 of xln(2) ?

The integral from 1 to 4 of xln(2) is ln(2) 15/2

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integral from 1 to 4 of xln(2)

\int_{1}^{4} x ln (2) d x

ln (2) \frac{15}{2}

Decimal Notation

5.19860 \dots

Solution steps

\int_{1}^{4} 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_{1}^{4} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{1}^{4}

= ln (2) [\frac{x ^{2}}{2}]_{1}^{4}

Compute the boundaries:

\frac{15}{2}

= ln (2) \frac{15}{2}

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What is the integral from 1 to 4 of xln(2) ?
The integral from 1 to 4 of xln(2) is ln(2) 15/2