What is the integral from 2 to 4 of 1/x ?

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

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integral from 2 to 4 of 1/x

\int_{2}^{4} \frac{1}{x} d x

ln (2)

Decimal

0.69314 \dots

Solution steps

\int_{2}^{4} \frac{1}{x} d x

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= [ln ∣ x ∣]_{2}^{4}

Compute the boundaries:

ln (2)

= ln (2)

\int \frac{4}{cos ^{2} ( x )} d x

\int 4 x^{3} (2 x^{4} - e) d x

\int \frac{( x ^{m} - x ^{n} ) ^{2}}{x} d x

\int_{0}^{3} 2 π (x + 7) (2 x) d x

y^{^{''}} + y = cos (x)

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