integral from-4 to 3 of-x^2-3x

Lösung

\int_{- 4}^{3} - x^{2} - 3 x d x

- \frac{119}{6}

Dezimale

- 19.83333 \dots

Schritte zur Lösung

\int_{- 4}^{3} - x^{2} - 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_{- 4}^{3} x^{2} d x - \int_{- 4}^{3} 3 x d x

\int_{- 4}^{3} x^{2} d x = \frac{91}{3}

\int_{- 4}^{3} 3 x d x = - \frac{21}{2}

= - \frac{91}{3} - (- \frac{21}{2})

Vereinfache

- \frac{91}{3} - (- \frac{21}{2}) : - \frac{119}{6}

= - \frac{119}{6}

\int_{0}^{1} x 63 x^{2} + 1 d x

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

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

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

\int_{- 1}^{0} \frac{5 - 3 x}{4 x - 3} d x