integral from 1 to 6 of 5x^{-4}

Lösung

\int_{1}^{6} 5 x^{- 4} d x

\frac{1075}{648}

Dezimale

1.65895 \dots

Schritte zur Lösung

\int_{1}^{6} 5 x^{- 4} d x

Entferne die Konstante:

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

= 5 \cdot \int_{1}^{6} x^{- 4} d x

Wende die Potenzregel an

= 5 [- \frac{1}{3 x ^{3}}]_{1}^{6}

Berechne die Grenzen:

\frac{215}{648}

= 5 \cdot \frac{215}{648}

Vereinfache

= \frac{1075}{648}

\int_{0}^{4} y (e^{y^{2}} - 1) d y

\int_{0}^{0.4} 30 x^{2} (1 - x^{2}) d x

\int_{2}^{4} 10 x d x

\int_{0}^{2 x} (y e^{x^{3}}) d y

\int_{y}^{y^{3}} e^{\frac{x}{y}} d x