What is the integral from-pi to pi of sin^3(x) ?

The integral from-pi to pi of sin^3(x) is 0

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integral from-pi to pi of sin^3(x)

\int_{- π}^{π} sin^{3} (x) d x

0

Solution steps

\int_{- π}^{π} sin^{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

sin^{3} (x) :

Odd

= 0

x \to 0 + lim (x ln (tan (3 x)))

- \frac{19}{( 2 x - 5 ) ^{2}}

x \to - 26.8 lim (- 26.8)

\frac{4}{x + 2}, 0

x \to \infty lim (10 \cdot e^{\frac{- x}{2}} + 4)

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