What is the integral from-pi to pi of tan(x) ?

The integral from-pi to pi of tan(x) is diverges

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral from-pi to pi of tan(x)

\int_{- π}^{π} tan (x) d x

diverges

Solution steps

\int_{- π}^{π} tan (x) d x

Take the denominator(s) of

tan (x)

and compare to zero:

x = \frac{π}{2}, x = - \frac{π}{2}

If exist

b, a < b < c, f (b) =

undefined

, \int_{a}^{c} f (x) d x = \int_{a}^{b} f (x) d x + \int_{b}^{c} f (x) d x

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

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

diverges

If part of the expression diverges, then entire expression diverges

= diverges

What is the integral from-pi to pi of tan(x) ?
The integral from-pi to pi of tan(x) is diverges