What is the integral from sqrt(8) to 4sqrt(8 of) 1/t ?

The integral from sqrt(8) to 4sqrt(8 of) 1/t is 2ln(2)

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integral from sqrt(8) to 4sqrt(8 of) 1/t

\int_{8}^{48} \frac{1}{t} d t

2 ln (2)

Decimal Notation

1.38629 \dots

Solution steps

\int_{8}^{48} \frac{1}{t} d t

Use the common integral:

\int \frac{1}{t} d t = ln (∣ t ∣)

= [ln ∣ t ∣]_{8}^{48}

Simplify

[ln ∣ t ∣]_{8}^{48} : [ln ∣ t ∣]_{22}^{82}

= [ln ∣ t ∣]_{22}^{82}

Compute the boundaries:

2 ln (2)

= 2 ln (2)

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What is the integral from sqrt(8) to 4sqrt(8 of) 1/t ?
The integral from sqrt(8) to 4sqrt(8 of) 1/t is 2ln(2)