integral from 1 to 4 of (3/(x^2))

Lösung

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

\frac{9}{4}

Dezimale

2.25

Schritte zur Lösung

\int_{1}^{4} \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}^{4} \frac{1}{x ^{2}} d x

Wende die Potenzregel an

= 3 [- \frac{1}{x}]_{1}^{4}

Berechne die Grenzen:

\frac{3}{4}

= 3 \cdot \frac{3}{4}

Vereinfache

= \frac{9}{4}

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

\int_{- \frac{π}{2}}^{\frac{π}{2}} cos^{9} (x) d x

\int_{5}^{9} 1 d x

\int_{2}^{4} \frac{1}{x x - 1} d x

\int_{0}^{\frac{π}{4}} (cos^{2} (x)) d x