What is the integral from-pi/3 to (2pi)/3 of 3tan(x) ?

The integral from-pi/3 to (2pi)/3 of 3tan(x) is diverges

Popular >

integral from-pi/3 to (2pi)/3 of 3tan(x)

\int_{- \frac{π}{3}}^{\frac{2 π}{3}} 3 tan (x) d x

diverges

Solution steps

\int_{- \frac{π}{3}}^{\frac{2 π}{3}} 3 tan (x) d x

Take the denominator(s) of

3 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}{3}}^{\frac{π}{2}} 3 tan (x) d x + \int_{\frac{π}{2}}^{\frac{2 π}{3}} 3 tan (x) d x

\int_{- \frac{π}{3}}^{\frac{π}{2}} 3 tan (x) d x =

diverges

If part of the expression diverges, then entire expression diverges

= diverges

\int_{0}^{4} (4 - y) d y

\int_{0}^{1} (8 - 6 x^{2}) d x

\int_{0}^{\frac{π}{2}} cos^{2} (3 x) d x

\int_{0}^{3} \frac{1}{3 x - x ^{2}} d x

\int_{0}^{1} 1 - x^{\frac{1}{4}} d x

What is the integral from-pi/3 to (2pi)/3 of 3tan(x) ?
The integral from-pi/3 to (2pi)/3 of 3tan(x) is diverges