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

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

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integral from-1 to 1 of xcos(npix)

\int_{- 1}^{1} x cos (nπ x) d x

0

Solution steps

\int_{- 1}^{1} x cos (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

x cos (nπ x) :

Odd

= 0

\int \frac{1}{1 - v ^{2}} d v

\int (x - 2)^{2} d x

\frac{d}{d x} (\frac{1 - ln ( x )}{1 + ln ( x )})

\frac{5}{x}, at x = a

\int \frac{1}{x ^{3} ( ( x ^{2} - 9 ) )} d x

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