What is the integral from e to e^3 of 1/x ?

The integral from e to e^3 of 1/x is 2

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integral from e to e^3 of 1/x

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

2

Solution steps

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

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= [ln ∣ x ∣]_{e}^{e^{3}}

Compute the boundaries:

2

= 2

\int_{0}^{\infty} 5 e^{- 3 x} d x

\int_{\frac{1}{2} x}^{1} x^{2} e^{x y} d y

\int_{4}^{5} \frac{2}{( x - 3 )} d x

\int_{0}^{12} 9800 \cdot 9 π \cdot (12 - x) d x

\int_{- 1}^{2} (x + x^{4}) d x

What is the integral from e to e^3 of 1/x ?
The integral from e to e^3 of 1/x is 2