What is the integral from-1 to 1 of sin^7(x) ?

The integral from-1 to 1 of sin^7(x) is 0

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integral from-1 to 1 of sin^7(x)

\int_{- 1}^{1} sin^{7} (x) d x

0

Solution steps

\int_{- 1}^{1} sin^{7} (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^{7} (x) :

Odd

= 0

\int_{0}^{7} π (2 3 y)^{2} d y

\int_{0}^{1} 3 x e^{x} d x

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

\int_{0}^{9} \frac{x}{9 + 3 x} d x

\int_{- \frac{π}{2}}^{0} cos (3 x) d x

What is the integral from-1 to 1 of sin^7(x) ?
The integral from-1 to 1 of sin^7(x) is 0