What is the integral from-infinity to 0 of 1/(3-10x) ?

The integral from-infinity to 0 of 1/(3-10x) is diverges

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integral from-infinity to 0 of 1/(3-10x)

\int_{- \infty}^{0} \frac{1}{3 - 10 x} d x

diverges

Solution steps

\int_{- \infty}^{0} \frac{1}{3 - 10 x} d x

Compute the indefinite integral:

\int \frac{1}{3 - 10 x} d x = - \frac{1}{10} ln ∣ 3 - 10 x ∣ + C

Compute the boundaries:

\int_{- \infty}^{0} \frac{1}{3 - 10 x} d x =

diverges

= diverges

- 4 x^{5} + 6 x^{7}

x \to + 0 lim (\frac{e ^{x} - 1}{5 x})

\int \frac{10 x ^{2} - 9 x + 8}{x ^{3} + 4 x} d x

f (x) = 19 x - 1.86 x^{2}, at x = 1

\frac{\partial}{\partial x} (\frac{10}{x})

What is the integral from-infinity to 0 of 1/(3-10x) ?
The integral from-infinity to 0 of 1/(3-10x) is diverges