What is the integral from 0 to pi/2 of 1/(cos^2(x)) ?

The integral from 0 to pi/2 of 1/(cos^2(x)) is diverges

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integral from 0 to pi/2 of 1/(cos^2(x))

\int_{0}^{\frac{π}{2}} \frac{1}{cos ^{2} ( x )} d x

diverges

Solution steps

\int_{0}^{\frac{π}{2}} \frac{1}{cos ^{2} ( x )} d x

Use the common integral:

\int \frac{1}{cos ^{2} ( x )} d x = tan (x)

= [tan (x)]_{0}^{\frac{π}{2}}

Compute the boundaries:

diverges

= diverges

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What is the integral from 0 to pi/2 of 1/(cos^2(x)) ?
The integral from 0 to pi/2 of 1/(cos^2(x)) is diverges