What is the integral from pi/4 to pi/2 of sec(x) ?

The integral from pi/4 to pi/2 of sec(x) is diverges

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integral from pi/4 to pi/2 of sec(x)

\int_{\frac{π}{4}}^{\frac{π}{2}} sec (x) d x

diverges

Solution steps

\int_{\frac{π}{4}}^{\frac{π}{2}} sec (x) d x

Use the common integral:

\int sec (x) d x = ln ∣ tan (x) + sec (x) ∣

= [ln ∣ tan (x) + sec (x) ∣]_{\frac{π}{4}}^{\frac{π}{2}}

Compute the boundaries:

diverges

= diverges

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What is the integral from pi/4 to pi/2 of sec(x) ?
The integral from pi/4 to pi/2 of sec(x) is diverges