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Beliebt Rechnen >

integral from 1 to t of (25)/(x^3)

Lösung

\int_{1}^{t} \frac{25}{x ^{3}} d x

Lösung

25 (- \frac{1}{2 t ^{2}} + \frac{1}{2})

Schritte zur Lösung

\int_{1}^{t} \frac{25}{x ^{3}} d x

Entferne die Konstante:

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

= 25 \cdot \int_{1}^{t} \frac{1}{x ^{3}} d x

Wende die Potenzregel an

= 25 [- \frac{1}{2 x ^{2}}]_{1}^{t}

Berechne die Grenzen:

- \frac{1}{2 t ^{2}} + \frac{1}{2}

= 25 (- \frac{1}{2 t ^{2}} + \frac{1}{2})

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\int 3 x^{2} \cdot e^{x^{3}} d x