integral from 1 to 5 of-5/(x^2)

Lösung

\int_{1}^{5} - \frac{5}{x ^{2}} d x

- 4

Schritte zur Lösung

\int_{1}^{5} - \frac{5}{x ^{2}} d x

Entferne die Konstante:

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

= - 5 \cdot \int_{1}^{5} \frac{1}{x ^{2}} d x

Wende die Potenzregel an

= - 5 [- \frac{1}{x}]_{1}^{5}

Berechne die Grenzen:

\frac{4}{5}

= - 5 \cdot \frac{4}{5}

Vereinfache

= - 4

\int_{- 4}^{12} x + 4 d x

\int_{- 1}^{0} x^{\frac{1}{5}} - x d x

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

\int_{0}^{\infty} x e^{- y} d y

\int_{3}^{4} (2 x + 9) d x