What is the integral from-pi/2 to pi/2 of sin^7(x) ?

The integral from-pi/2 to pi/2 of sin^7(x) is 0

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integral from-pi/2 to pi/2 of sin^7(x)

\int_{- \frac{π}{2}}^{\frac{π}{2}} sin^{7} (x) d x

0

Solution steps

\int_{- \frac{π}{2}}^{\frac{π}{2}} 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}^{y} e^{- x^{2}} d x

\int_{- 1}^{2} x^{2} - 1 d x

\int_{0}^{4} 5 d x

\int_{0}^{π} 5 e^{x} + 3 sin (x) d x

\int_{0}^{\frac{π}{2}} 3 sin (x) d x

What is the integral from-pi/2 to pi/2 of sin^7(x) ?
The integral from-pi/2 to pi/2 of sin^7(x) is 0