What is the integral from 1 to infinity of 2/(3x+4) ?

The integral from 1 to infinity of 2/(3x+4) is diverges

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integral from 1 to infinity of 2/(3x+4)

\int_{1}^{\infty} \frac{2}{3 x + 4} d x

diverges

Solution steps

\int_{1}^{\infty} \frac{2}{3 x + 4} d x

Compute the indefinite integral:

\int \frac{2}{3 x + 4} d x = \frac{2}{3} ln ∣ 3 x + 4 ∣ + C

Compute the boundaries:

\int_{1}^{\infty} \frac{2}{3 x + 4} d x =

diverges

= diverges

\int_{- 2}^{1} x^{2} + x + 2 d x

\int_{- 1}^{1} \frac{5}{1 + 25 x ^{2}} d x

\int_{y}^{y^{2}} (x + 2 y) d x

\int_{0}^{3} (1 + 2 x)^{2} d x

\int_{0}^{1} x^{2} + x^{4} d x

What is the integral from 1 to infinity of 2/(3x+4) ?
The integral from 1 to infinity of 2/(3x+4) is diverges