What is the integral from pi/2 to infinity of 7/x ?

The integral from pi/2 to infinity of 7/x is diverges

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integral from pi/2 to infinity of 7/x

\int_{\frac{π}{2}}^{\infty} \frac{7}{x} d x

diverges

Solution steps

\int_{\frac{π}{2}}^{\infty} \frac{7}{x} d x

Compute the indefinite integral:

\int \frac{7}{x} d x = 7 ln ∣ x ∣ + C

Compute the boundaries:

\int_{\frac{π}{2}}^{\infty} \frac{7}{x} d x =

diverges

= diverges

\int \frac{1}{2 + sin ( x )} d x

in v erse l a pl a ce e^{- 8 s}

im pl i c i t ln (x y) = e^{(x + y)}

\frac{d}{d x} (- cos (2 x) 0.2)

\int - 11 cos (ln (x)) d x

What is the integral from pi/2 to infinity of 7/x ?
The integral from pi/2 to infinity of 7/x is diverges