What is the integral from 1 to 4 of (1/x) ?

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

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integral from 1 to 4 of (1/x)

\int_{1}^{4} (\frac{1}{x}) d x

2 ln (2)

Decimal

1.38629 \dots

Solution steps

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

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= [ln ∣ x ∣]_{1}^{4}

Compute the boundaries:

2 ln (2)

= 2 ln (2)

\int_{0}^{4} e^{x} + e^{- x} d x

\int_{1}^{2} \frac{1}{t + 1} d t

\int_{0}^{1} 2^{x} 3^{x} d x

\int_{20}^{\infty} \frac{1}{x ^{2}} d x

\int_{0}^{10} (- x^{2} + 10 x) d x

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