What is the integral from 0 to pi of cox(3x) ?

The integral from 0 to pi of cox(3x) is pi^3co

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integral from 0 to pi of cox(3x)

\int_{0}^{π} co x (3 x) d x

π^{3} co

Solution steps

\int_{0}^{π} co x \cdot 3 x d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 3 co \cdot \int_{0}^{π} xx d x

Simplify

xx : x^{2}

= 3 co \cdot \int_{0}^{π} x^{2} d x

Apply the Power Rule

= 3 co [\frac{x ^{3}}{3}]_{0}^{π}

Compute the boundaries:

\frac{π ^{3}}{3}

= 3 co \frac{π ^{3}}{3}

Simplify

= π^{3} co

What is the integral from 0 to pi of cox(3x) ?
The integral from 0 to pi of cox(3x) is pi^3co