What is the integral from-1 to 1 of sin(npix) ?

The integral from-1 to 1 of sin(npix) is 0

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integral from-1 to 1 of sin(npix)

\int_{- 1}^{1} sin (nπ x) d x

0

Solution steps

\int_{- 1}^{1} sin (nπ 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 (nπ x) :

Odd

= 0

\int_{1}^{9} 6 x - 5 d x

\int_{2}^{5} 2^{5 x} d x

\int_{1}^{x^{2}} \frac{1}{t ^{4}} d t

\int_{1}^{6} 8 t^{3} - 6 t^{- 2} d t

\int_{- 1}^{1} \frac{2}{4 - x ^{2}} d x

What is the integral from-1 to 1 of sin(npix) ?
The integral from-1 to 1 of sin(npix) is 0