integral from-3 to 0 of x^3-9x

Lösung

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

\frac{81}{4}

Dezimale

20.25

Schritte zur Lösung

\int_{- 3}^{0} x^{3} - 9 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_{- 3}^{0} x^{3} d x - \int_{- 3}^{0} 9 x d x

\int_{- 3}^{0} x^{3} d x = - \frac{81}{4}

\int_{- 3}^{0} 9 x d x = - \frac{81}{2}

= - \frac{81}{4} - (- \frac{81}{2})

Vereinfache

- \frac{81}{4} - (- \frac{81}{2}) : \frac{81}{4}

= \frac{81}{4}

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

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

\int_{0}^{2} cos^{2} (x) d x

\int_{0}^{1} \frac{1}{2 y + 1} d y

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