What is the integral from 4 to infinity of 1/(3x-10) ?

The integral from 4 to infinity of 1/(3x-10) is diverges

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integral from 4 to infinity of 1/(3x-10)

\int_{4}^{\infty} \frac{1}{3 x - 10} d x

diverges

Solution steps

\int_{4}^{\infty} \frac{1}{3 x - 10} d x

Compute the indefinite integral:

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

Compute the boundaries:

\int_{4}^{\infty} \frac{1}{3 x - 10} d x =

diverges

= diverges

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\int_{e}^{e^{2}} \frac{1}{t ln ( t )} d t

\int_{- 1}^{1} (x + ∣ x ∣)^{2} d x

\int_{2}^{0} x^{3} d x

\int_{1}^{e^{7}} \frac{1}{x ( 1 + ln ( x ) )} d x

What is the integral from 4 to infinity of 1/(3x-10) ?
The integral from 4 to infinity of 1/(3x-10) is diverges