What is the integral from-infinity to pi/2 of tan(θ) ?

The integral from-infinity to pi/2 of tan(θ) is diverges

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integral from-infinity to pi/2 of tan(θ)

\int_{- \infty}^{\frac{π}{2}} tan (θ) d θ

diverges

Solution steps

\int_{- \infty}^{\frac{π}{2}} tan (θ) d θ

Compute the indefinite integral:

\int tan (θ) d θ = - ln ∣ cos (θ) ∣ + C

Compute the boundaries:

\int_{- \infty}^{\frac{π}{2}} tan (θ) d θ =

diverges

= diverges

What is the integral from-infinity to pi/2 of tan(θ) ?
The integral from-infinity to pi/2 of tan(θ) is diverges