integral from 1 to 3 of (3/(x^2))

Lösung

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

2

Schritte zur Lösung

\int_{1}^{3} \frac{3}{x ^{2}} d x

Entferne die Konstante:

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

= 3 \cdot \int_{1}^{3} \frac{1}{x ^{2}} d x

Wende die Potenzregel an

= 3 [- \frac{1}{x}]_{1}^{3}

Berechne die Grenzen:

\frac{2}{3}

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

Vereinfache

= 2

\int_{0}^{2} (\frac{4}{x ^{3}} - \frac{10}{3 x ^{2}}) d x

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

\int_{- 1}^{1} (x^{3} + 1) d x

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

\int_{0}^{4} (4 - 4 x) - (4 - x^{2}) d x