What is the integral from-11 to-3 of 1/x ?

The integral from-11 to-3 of 1/x is ln(3)-ln(11)

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integral from-11 to-3 of 1/x

\int_{- 11}^{- 3} \frac{1}{x} d x

ln (3) - ln (11)

Decimal

- 1.29928 \dots

Solution steps

\int_{- 11}^{- 3} \frac{1}{x} d x

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= [ln ∣ x ∣]_{- 11}^{- 3}

Compute the boundaries:

ln (3) - ln (11)

= ln (3) - ln (11)

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\int_{0}^{1} x cos (\frac{nπ}{2} x) d x

\int_{2}^{x} - \frac{2}{t ^{3}} d t

\int_{0}^{x} e^{- t^{3}} d t

What is the integral from-11 to-3 of 1/x ?
The integral from-11 to-3 of 1/x is ln(3)-ln(11)