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

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

Popular >

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

\int_{1}^{\infty} x + 1 d x

\int_{0}^{\frac{π}{4}} e^{3 x} sin (4 x) d x

\int_{- 1}^{1} (6 y^{2} - 5 y^{4}) d y

\int_{0}^{4} (x^{4} + 5)^{3} x^{3} d x

\int_{- 2}^{4} \frac{∣ x + 1 ∣}{∣ x + 6 ∣} d x

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