What is the integral from 3 to e^5 of 1/x ?

The integral from 3 to e^5 of 1/x is 5-ln(3)

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integral from 3 to e^5 of 1/x

\int_{3}^{e^{5}} \frac{1}{x} d x

5 - ln (3)

Decimal Notation

3.90138 \dots

Solution steps

\int_{3}^{e^{5}} \frac{1}{x} d x

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= [ln ∣ x ∣]_{3}^{e^{5}}

Compute the boundaries:

5 - ln (3)

= 5 - ln (3)

\frac{\partial}{\partial x} (x^{8} + 6 x y^{5})

\int 7 x^{3} cos (x^{2}) d x

x y^{^{'}} + y = 41 x

f (x) = sin^{2} (x)

\frac{d}{d x} (2 e^{x} cos (2 x))

What is the integral from 3 to e^5 of 1/x ?
The integral from 3 to e^5 of 1/x is 5-ln(3)