What is the integral from pi/5 to infinity of 5/x ?

The integral from pi/5 to infinity of 5/x is diverges

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integral from pi/5 to infinity of 5/x

\int_{\frac{π}{5}}^{\infty} \frac{5}{x} d x

diverges

Solution steps

\int_{\frac{π}{5}}^{\infty} \frac{5}{x} d x

Compute the indefinite integral:

\int \frac{5}{x} d x = 5 ln ∣ x ∣ + C

Compute the boundaries:

\int_{\frac{π}{5}}^{\infty} \frac{5}{x} d x =

diverges

= diverges

f^{^{'}} (x) = \frac{3}{x}

\int \frac{1}{1 + ln ( x )} d x

f (x) = 3 x^{3}

f (x) = x^{5}, at x = - 1

\int x^{2} x^{3} + 39 d x

What is the integral from pi/5 to infinity of 5/x ?
The integral from pi/5 to infinity of 5/x is diverges