integral from-1 to 1 of (x^3-x^4)

Lösung

\int_{- 1}^{1} (x^{3} - x^{4}) d x

- \frac{2}{5}

Dezimale

- 0.4

Schritte zur Lösung

\int_{- 1}^{1} x^{3} - x^{4} 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} x^{4} d x

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

\int_{- 1}^{1} x^{4} d x = \frac{2}{5}

= 0 - \frac{2}{5}

Vereinfache

= - \frac{2}{5}

\int_{0}^{1} 3 x^{2} arcsin (x) d x

\int_{- 5}^{2} \frac{5}{x ^{4}} d x

\int_{0}^{2} - \frac{3}{2} x + 3 d x

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

\int_{0}^{3} 2 x 4 x^{2} + 4 d x