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

Lösung

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

- 2

Schritte zur Lösung

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

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

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

= 0 - 2

Vereinfache

= - 2

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

\int_{0}^{2 + y} 1 - 3 z^{2} d z

\int_{1}^{2} \frac{x}{1 + x ^{4}} d x

\int_{- a}^{a} x^{2} a^{2} - x^{2} d x

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