integral from-1 to 1 of (x^3-x^6)

Lösung

\int_{- 1}^{1} (x^{3} - x^{6}) d x

- \frac{2}{7}

Dezimale

- 0.28571 \dots

Schritte zur Lösung

\int_{- 1}^{1} x^{3} - x^{6} 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^{6} d x

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

\int_{- 1}^{1} x^{6} d x = \frac{2}{7}

= 0 - \frac{2}{7}

Vereinfache

= - \frac{2}{7}

\int_{0}^{2 π} 2 - 2 cos (x) d x

\int_{x}^{x^{2}} sin (t) d t

\int_{1}^{2} r^{2} d r

\int_{1}^{x^{2}} sec (t) d t

\int_{- \frac{π}{2}}^{\frac{π}{2}} x sin (x) d x