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

\int_{0}^{π} x sin (n x) d x

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

\int_{0}^{3} 2 sin (x) - e^{x} d x

\int_{0}^{1} 2 x - x^{2} d x

\int_{0}^{x} cos (t^{2}) d t

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