integral from 1.5 to 5 of 0.2x

Lösung

\int_{1.5}^{5} 0.2 x d x

2.275

Schritte zur Lösung

\int_{1.5}^{5} 0.2 x d x

Entferne die Konstante:

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

= 0.2 \cdot \int_{1.5}^{5} x d x

Wende die Potenzregel an

= 0.2 [\frac{x ^{2}}{2}]_{1.5}^{5}

Vereinfache

= 0.2 [0.5 x^{2}]_{1.5}^{5}

Berechne die Grenzen:

11.375

= 0.2 \cdot 11.375

Vereinfache

= 2.275

\int_{0}^{t a n (x)} t d t

\int_{- 1}^{0} (5 x) d x

\int_{1}^{4} x^{2} + 3 d x

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

\int_{3}^{6} \frac{x}{x ^{2} + x - 2} d x