What is the integral from 1 to sqrt(3 of)ln(x) ?

The integral from 1 to sqrt(3 of)ln(x) is (sqrt(3))/2 ln(3)-sqrt(3)+1

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integral from 1 to sqrt(3 of)ln(x)

\int_{1}^{3} ln (x) d x

\frac{3}{2} ln (3) - 3 + 1

Decimal

0.21937 \dots

Solution steps

\int_{1}^{3} ln (x) d x

Apply Integration By Parts

: [x ln (x) - \int 1 d x]_{1}^{3}

= [x ln (x) - \int 1 d x]_{1}^{3}

\int 1 d x = x

= [x ln (x) - x]_{1}^{3}

Compute the boundaries:

\frac{3}{2} ln (3) - 3 + 1

= \frac{3}{2} ln (3) - 3 + 1

\int_{- 1}^{2} x^{3} - 2 x^{2} - x + 2 d x

\int_{3}^{8} (3 - x) (x - 8) d x

\int_{0}^{1} - 1

\int_{0}^{14 π} sin (x) d x

\int_{0}^{\frac{1}{4}} \frac{4}{1 + 16 x ^{2}} d x

What is the integral from 1 to sqrt(3 of)ln(x) ?
The integral from 1 to sqrt(3 of)ln(x) is (sqrt(3))/2 ln(3)-sqrt(3)+1