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

The integral from-pi/3 to pi/3 of tan(x) is 0

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

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

0

Solution steps

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

If f(x) is an odd function and continuous at:

[- a, a]

then

\int_{- a}^{a} f (x) d x = 0

Parity of

tan (x) :

Odd

= 0

\int_{0}^{8} \frac{x}{49 + 4 x} d x

\int_{- t}^{t^{2}} e^{- x} d x

\int_{- 1}^{x^{2}} (1 + t^{3})^{4} d t

\int_{0}^{4} π (4 - z) d z

\int_{0}^{2} - 2 x^{2} + 4 x d x

What is the integral from-pi/3 to pi/3 of tan(x) ?
The integral from-pi/3 to pi/3 of tan(x) is 0