integral from 0 to pi of x/pi

Lösung

\int_{0}^{π} \frac{x}{π} d x

\frac{π}{2}

Dezimale

1.57079 \dots

Schritte zur Lösung

\int_{0}^{π} \frac{x}{π} d x

Entferne die Konstante:

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

= \frac{1}{π} \cdot \int_{0}^{π} x d x

Wende die Potenzregel an

= \frac{1}{π} [\frac{x ^{2}}{2}]_{0}^{π}

Berechne die Grenzen:

\frac{π ^{2}}{2}

= \frac{1}{π} \cdot \frac{π ^{2}}{2}

Vereinfache

= \frac{π}{2}

\int_{1}^{c o s (x)} 11 t^{10} d t

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\int_{0}^{1} cos (π) t d t

\int_{- 1}^{2} x + ∣ x ∣ d x

\int_{- π}^{0} (x + π) cos (n x) d x