What is the integral from 0 to 2pi of cos^2(4x) ?

The integral from 0 to 2pi of cos^2(4x) is pi2

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integral from 0 to 2pi of cos^2(4x)

\int_{0}^{2 π} cos^{2} (4 x) d x

π 2

Decimal Notation

6.28318 \dots

Solution steps

\int_{0}^{2 π} cos^{2} (4 x) d x

Evaluating using numerical calculation methods

= π 2

\int_{0}^{1} (2 x + 3)^{3} d x

\int_{0}^{\frac{π}{2}} e^{- 5 x} sin (x) d x

\int_{1}^{5} \frac{5 x}{x ^{2} + 2} d x

\int_{- 2}^{5} (10 - 5 x) d x

\int_{0}^{6} \frac{8}{729} (x + 3)^{3} d x

What is the integral from 0 to 2pi of cos^2(4x) ?
The integral from 0 to 2pi of cos^2(4x) is pi2