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

Lösung

\int_{2}^{3} - \frac{4}{x ^{2}} d x

- \frac{2}{3}

Dezimale

- 0.66666 \dots

Schritte zur Lösung

\int_{2}^{3} - \frac{4}{x ^{2}} d x

Entferne die Konstante:

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

= - 4 \cdot \int_{2}^{3} \frac{1}{x ^{2}} d x

Wende die Potenzregel an

= - 4 [- \frac{1}{x}]_{2}^{3}

Berechne die Grenzen:

\frac{1}{6}

= - 4 \cdot \frac{1}{6}

Vereinfache

= - \frac{2}{3}

\int_{0}^{1} 1 5^{2 x} d x

\int_{0}^{1} x^{2} 9 - x^{3} d x

\int_{0}^{1} (x^{6} + 1) d x

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

\int_{0}^{1} x^{2} 30 x^{2} (1 - x)^{2} d x