What is the integral from 0 to 1 of 1/(x^1) ?

The integral from 0 to 1 of 1/(x^1) is diverges

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integral from 0 to 1 of 1/(x^1)

\int_{0}^{1} \frac{1}{x ^{1}} d x

diverges

Solution steps

\int_{0}^{1} \frac{1}{x ^{1}} d x

Simplify

= \int_{0}^{1} \frac{1}{x} d x

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= [ln ∣ x ∣]_{0}^{1}

Compute the boundaries:

diverges

= diverges

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\frac{d y}{d x} + (\frac{3}{x} - 1) y = - \frac{2}{x}

y = 2 x, x = 3

\int e^{- s t} e^{a t} d t

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What is the integral from 0 to 1 of 1/(x^1) ?
The integral from 0 to 1 of 1/(x^1) is diverges