What is the integral from-1/8 to 1/8 of (sin(2pix)) ?

The integral from-1/8 to 1/8 of (sin(2pix)) is 0

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integral from-1/8 to 1/8 of (sin(2pix))

\int_{- \frac{1}{8}}^{\frac{1}{8}} (sin (2 π x)) d x

0

Solution steps

\int_{- \frac{1}{8}}^{\frac{1}{8}} sin (2 π 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 (2 π x) :

Odd

= 0

What is the integral from-1/8 to 1/8 of (sin(2pix)) ?
The integral from-1/8 to 1/8 of (sin(2pix)) is 0