What is the integral from 1 to 5 of ln(x) ?

The integral from 1 to 5 of ln(x) is 5ln(5)-4

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integral from 1 to 5 of ln(x)

\int_{1}^{5} ln (x) d x

5 ln (5) - 4

Decimal Notation

4.04718 \dots

Solution steps

\int_{1}^{5} ln (x) d x

Apply Integration By Parts

: [x ln (x) - \int 1 d x]_{1}^{5}

= [x ln (x) - \int 1 d x]_{1}^{5}

\int 1 d x = x

= [x ln (x) - x]_{1}^{5}

Compute the boundaries:

5 ln (5) - 4

= 5 ln (5) - 4

y^{^{''}} - 5 y^{^{'}} + 6 y = 2 e^{- 2 s}, y (0) = 0, y^{^{'}} (0) = 0

(3 x^{2} - 10)^{- 14}

\frac{d}{d x} (\frac{x}{x ^{- 1} + 2})

\int \frac{( 1 )}{( sin ( x ) - 2 csc ( x ) )} d x

\int - 4 e^{5 x} d x

What is the integral from 1 to 5 of ln(x) ?
The integral from 1 to 5 of ln(x) is 5ln(5)-4