What is the integral from-infinity to 0 of 1/(2-3x) ?

The integral from-infinity to 0 of 1/(2-3x) is diverges

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integral from-infinity to 0 of 1/(2-3x)

\int_{- \infty}^{0} \frac{1}{2 - 3 x} d x

diverges

Solution steps

\int_{- \infty}^{0} \frac{1}{2 - 3 x} d x

Compute the indefinite integral:

\int \frac{1}{2 - 3 x} d x = - \frac{1}{3} ln ∣ 2 - 3 x ∣ + C

Compute the boundaries:

\int_{- \infty}^{0} \frac{1}{2 - 3 x} d x =

diverges

= diverges

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

x^{2} \frac{d}{d x} (\frac{d y}{d x}) + 19 x \frac{d y}{d x} + 145 y = 0

5 y^{^{''}} + 11 y^{^{'}} + 7 y = 0, y (0) = 8, y^{^{'}} (0) = 10

\int_{0}^{1} 4 x^{3} 3 x^{4} + 4 d x

\int x (1 - x^{2}) d x

What is the integral from-infinity to 0 of 1/(2-3x) ?
The integral from-infinity to 0 of 1/(2-3x) is diverges