What is the integral from-pi to pi of x^2cos(n)x ?

The integral from-pi to pi of x^2cos(n)x is 0

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integral from-pi to pi of x^2cos(n)x

\int_{- π}^{π} x^{2} cos (n) x d x

0

Solution steps

\int_{- π}^{π} x^{2} cos (n) 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^{2} cos (n) x :

Odd

= 0

\int_{0}^{6} (x - 3)^{2} d x

\int_{1}^{e^{x}} 8 ln (x) d x

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

\int_{0}^{\frac{π}{6}} e^{i 2 t} d t

\int_{0}^{4} ln (t) d t

What is the integral from-pi to pi of x^2cos(n)x ?
The integral from-pi to pi of x^2cos(n)x is 0