integral from 0 to 5 of (x^3-x)

Lösung

\int_{0}^{5} (x^{3} - x) d x

\frac{575}{4}

Dezimale

143.75

Schritte zur Lösung

\int_{0}^{5} x^{3} - x d x

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{0}^{5} x^{3} d x - \int_{0}^{5} x d x

\int_{0}^{5} x^{3} d x = \frac{625}{4}

\int_{0}^{5} x d x = \frac{25}{2}

= \frac{625}{4} - \frac{25}{2}

Vereinfache

\frac{625}{4} - \frac{25}{2} : \frac{575}{4}

= \frac{575}{4}

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

\int_{0}^{1} 1 - x^{2} \cdot x d x

\int_{1}^{5} e^{- x} d x

\int_{0}^{25} \frac{7}{25 - x} d x

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