What is the integral from-pi/9 to pi/9 of 2sin(3x)-tan(3x) ?

The integral from-pi/9 to pi/9 of 2sin(3x)-tan(3x) is 0

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integral from-pi/9 to pi/9 of 2sin(3x)-tan(3x)

\int_{- \frac{π}{9}}^{\frac{π}{9}} 2 sin (3 x) - tan (3 x) d x

0

Solution steps

\int_{- \frac{π}{9}}^{\frac{π}{9}} 2 sin (3 x) - 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

2 sin (3 x) - tan (3 x) :

Odd

= 0

What is the integral from-pi/9 to pi/9 of 2sin(3x)-tan(3x) ?
The integral from-pi/9 to pi/9 of 2sin(3x)-tan(3x) is 0