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

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

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

\int_{- π}^{π} cos^{2} (k) x d x

0

Solution steps

\int_{- π}^{π} cos^{2} (k) 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

cos^{2} (k) x :

Odd

= 0

\int_{1}^{10} (\frac{5}{x}) d x

\int_{0}^{1} 4 y^{2} (1 - y^{2}) d y

\int_{1}^{\infty} \frac{7}{x ^{2}} d x

\int_{4}^{1} 1

\int_{- 2}^{0} - sin (\frac{nπ x}{2}) d x

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