integral from-1 to 0 of-3-x^3+3-x

Lösung

\int_{- 1}^{0} - 3 - x^{3} + 3 - x d x

\frac{3}{4}

Dezimale

0.75

Schritte zur Lösung

\int_{- 1}^{0} - 3 - x^{3} + 3 - x d x

Vereinfache

= \int_{- 1}^{0} - 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_{- 1}^{0} x^{3} d x - \int_{- 1}^{0} x d x

\int_{- 1}^{0} x^{3} d x = - \frac{1}{4}

\int_{- 1}^{0} x d x = - \frac{1}{2}

= - (- \frac{1}{4}) - (- \frac{1}{2})

Vereinfache

- (- \frac{1}{4}) - (- \frac{1}{2}) : \frac{3}{4}

= \frac{3}{4}

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