integral from 0 to 7 of 3x

Lösung

\int_{0}^{7} 3 x d x

\frac{147}{2}

Dezimale

73.5

Schritte zur Lösung

\int_{0}^{7} 3 x d x

Entferne die Konstante:

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

= 3 \cdot \int_{0}^{7} x d x

Wende die Potenzregel an

= 3 [\frac{x ^{2}}{2}]_{0}^{7}

Berechne die Grenzen:

\frac{49}{2}

= 3 \cdot \frac{49}{2}

Vereinfache

= \frac{147}{2}

\int_{0}^{2} x^{3} d x

\int_{1}^{2} x^{2} - 1 d x

\int_{- 3}^{3} 5 - 9 - x^{2} d x

\int_{0}^{5} cos (x) d x

\int_{2}^{3} \frac{1}{x ln ^{4} ( x )} d x