What is the integral from-pi/6 to pi/6 of tan^3(x) ?

The integral from-pi/6 to pi/6 of tan^3(x) is 0

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integral from-pi/6 to pi/6 of tan^3(x)

\int_{- \frac{π}{6}}^{\frac{π}{6}} tan^{3} (x) d x

0

Solution steps

\int_{- \frac{π}{6}}^{\frac{π}{6}} tan^{3} (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^{3} (x) :

Odd

= 0

\int_{- π}^{0} (π + x) d x

\int_{- 1}^{1} (8 - ∣ x ∣) d x

\int_{1}^{3} 2 x cos (x^{2}) d x

\int_{2}^{5} \frac{10}{9 x ^{2}} d x

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

What is the integral from-pi/6 to pi/6 of tan^3(x) ?
The integral from-pi/6 to pi/6 of tan^3(x) is 0