What is the integral from 2 to 4 of ln(x) ?

The integral from 2 to 4 of ln(x) is 6ln(2)-2

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integral from 2 to 4 of ln(x)

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

6 ln (2) - 2

Decimal Notation

2.15888 \dots

Solution steps

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

Apply Integration By Parts

: [x ln (x) - \int 1 d x]_{2}^{4}

= [x ln (x) - \int 1 d x]_{2}^{4}

\int 1 d x = x

= [x ln (x) - x]_{2}^{4}

Compute the boundaries:

6 ln (2) - 2

= 6 ln (2) - 2

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\int_{0}^{\infty} sin (\frac{x}{2}) d x

\int_{0}^{π} sin (x) + cos (x) d x

\int_{0}^{1} e^{- s t} (2 t + 1) d t

What is the integral from 2 to 4 of ln(x) ?
The integral from 2 to 4 of ln(x) is 6ln(2)-2