integral from-5 to 2 of-x^2-3x

Lösung

\int_{- 5}^{2} - x^{2} - 3 x d x

- \frac{77}{6}

Dezimale

- 12.83333 \dots

Schritte zur Lösung

\int_{- 5}^{2} - 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_{- 5}^{2} x^{2} d x - \int_{- 5}^{2} 3 x d x

\int_{- 5}^{2} x^{2} d x = \frac{133}{3}

\int_{- 5}^{2} 3 x d x = - \frac{63}{2}

= - \frac{133}{3} - (- \frac{63}{2})

Vereinfache

- \frac{133}{3} - (- \frac{63}{2}) : - \frac{77}{6}

= - \frac{77}{6}

\int_{- 2}^{2} (x + 1) 4 - x^{2} d x

\int_{0}^{l n (5)} e^{x} - 1 d x

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

\int_{x}^{2 x} \frac{y}{x ^{2} + y ^{2}} d y

\int_{1}^{3} x^{2} - 1 d x