What is the integral from 2 to infinity of 5/(3x^2) ?

The integral from 2 to infinity of 5/(3x^2) is 5/6

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integral from 2 to infinity of 5/(3x^2)

\int_{2}^{\infty} \frac{5}{3 x ^{2}} d x

\frac{5}{6}

Solution steps

\int_{2}^{\infty} \frac{5}{3 x ^{2}} d x

Compute the indefinite integral:

\int \frac{5}{3 x ^{2}} d x = - \frac{5}{3 x} + C

Compute the boundaries:

\int_{2}^{\infty} \frac{5}{3 x ^{2}} d x = 0 - (- \frac{5}{6})

= 0 - (- \frac{5}{6})

Simplify

= \frac{5}{6}

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What is the integral from 2 to infinity of 5/(3x^2) ?
The integral from 2 to infinity of 5/(3x^2) is 5/6