What is the integral from pi/4 to pi of tan(x) ?

The integral from pi/4 to pi of tan(x) is diverges

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integral from pi/4 to pi of tan(x)

\int_{\frac{π}{4}}^{π} tan (x) d x

diverges

Solution steps

\int_{\frac{π}{4}}^{π} tan (x) d x

Take the denominator(s) of

tan (x)

and compare to zero:

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_{\frac{π}{4}}^{\frac{π}{2}} tan (x) d x + \int_{\frac{π}{2}}^{π} tan (x) d x

\int_{\frac{π}{4}}^{\frac{π}{2}} tan (x) d x =

diverges

If part of the expression diverges, then entire expression diverges

= diverges

\frac{d}{d t} \frac{( sin ( t ) + ( sin ( x ) ) ^{3} t )}{t} e^{t}

n = 0 \sum \infty (2 n)! (\frac{x}{4})^{n}

\int x 3 7 - 6 x^{2} d x

\frac{d}{d x} (csc^{2} (2 x) - csc (2) x^{2})

\frac{d}{d x} (e^{\frac{1}{x}} - 1)

What is the integral from pi/4 to pi of tan(x) ?
The integral from pi/4 to pi of tan(x) is diverges