What is the integral from-pi to pi of sin^{101}(x) ?

The integral from-pi to pi of sin^{101}(x) is 0

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integral from-pi to pi of sin^{101}(x)

\int_{- π}^{π} sin^{101} (x) d x

0

Solution steps

\int_{- π}^{π} sin^{101} (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^{101} (x) :

Even and odd

= 0

2 y d x + x (x^{2} ln (y) - 1) d y = 0

\frac{d}{d x} (sec (5 x + 2))

y = \frac{1}{2} x^{3} + 2, y = x + 1, x = 0, x = 1

\int \frac{2}{( x ^{2} + 1 ) ( x + 1 )} d x

\frac{\partial}{\partial x} (e^{x^{2} + y^{2} + 2 y + 5})

What is the integral from-pi to pi of sin^{101}(x) ?
The integral from-pi to pi of sin^{101}(x) is 0