integral from 1 to-1 of x^2

Lösung

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

- \frac{2}{3}

Dezimale

- 0.66666 \dots

Schritte zur Lösung

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

\int_{a}^{b} f (x) d x = - \int_{b}^{a} f (x) d x, a < b

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

Wende die Potenzregel an

= - [\frac{x ^{3}}{3}]_{- 1}^{1}

Berechne die Grenzen:

\frac{2}{3}

= - \frac{2}{3}

\int_{x^{2}}^{x} (x^{2} + y^{2}) d y

\int_{- 1}^{1} x^{7} d x

\int_{0}^{1} x (x^{2} + 6) d x

\int_{- 1}^{3} (3 x - 8) (x + 3) d x

\int_{0}^{4} 5 x^{2} d x