integral from-1 to 1 of 7t^6

Lösung

\int_{- 1}^{1} 7 t^{6} d t

2

Schritte zur Lösung

\int_{- 1}^{1} 7 t^{6} d t

Entferne die Konstante:

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

= 7 \cdot \int_{- 1}^{1} t^{6} d t

Wende die Potenzregel an

= 7 [\frac{t ^{7}}{7}]_{- 1}^{1}

Berechne die Grenzen:

\frac{2}{7}

= 7 \cdot \frac{2}{7}

Vereinfache

= 2

\int_{0}^{1} t^{2} + 2 d t

\int_{y}^{y} 1 d x

\int_{0}^{2} \frac{1}{6} x d x

\int_{1}^{4} \frac{1}{6} (x - 1) d x

\int_{25}^{40} \frac{1}{15} x^{2} d x