What is the integral from 1 to 5 of 1/t ?

The integral from 1 to 5 of 1/t is ln(5)

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integral from 1 to 5 of 1/t

\int_{1}^{5} \frac{1}{t} d t

ln (5)

Decimal

1.60943 \dots

Solution steps

\int_{1}^{5} \frac{1}{t} d t

Use the common integral:

\int \frac{1}{t} d t = ln (∣ t ∣)

= [ln ∣ t ∣]_{1}^{5}

Compute the boundaries:

ln (5)

= ln (5)

\int_{1}^{b} 3 c x^{2} + 1 d x

\int_{1}^{8} \frac{2 ln ( x )}{x} d x

\int_{0}^{1} 1 - y d y

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

\int_{0}^{1} 1 - t d t

What is the integral from 1 to 5 of 1/t ?
The integral from 1 to 5 of 1/t is ln(5)