What is the integral from 4 to 5.2 of ln(x) ?

The integral from 4 to 5.2 of ln(x) is 1.82784…

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integral from 4 to 5.2 of ln(x)

\int_{4}^{5.2} ln (x) d x

1.82784 \dots

Solution steps

\int_{4}^{5.2} ln (x) d x

Apply Integration By Parts

: [x ln (x) - \int 1 d x]_{4}^{5.2}

= [x ln (x) - \int 1 d x]_{4}^{5.2}

\int 1 d x = x

= [x ln (x) - x]_{4}^{5.2}

Compute the boundaries:

1.82784 \dots

= 1.82784 \dots

\int_{2}^{3.8} ln (5 - x) d x

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\int_{1}^{4} (t^{2} - t - 6) d t

\int_{0}^{t} 2 t d t

What is the integral from 4 to 5.2 of ln(x) ?
The integral from 4 to 5.2 of ln(x) is 1.82784…