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

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

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

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

diverges

Solution steps

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

Compute the indefinite integral:

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

Compute the boundaries:

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

diverges

= diverges

\int_{\frac{5 π}{6}}^{π} \frac{cos ^{4} ( x )}{1 - sin ( x )} d x

\int_{- 1}^{0} (x (x^{2} - 1)^{10}) d x

\int_{1}^{3} \frac{1}{x ^{2} - 4} d x

\int_{0}^{1} \frac{1}{x ^{2} - 8 x + 15} d x

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