integral from-7 to 2 of (-x^2-3x)

Lösung

\int_{- 7}^{2} (- x^{2} - 3 x) d x

- \frac{99}{2}

Dezimale

- 49.5

Schritte zur Lösung

\int_{- 7}^{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_{- 7}^{2} x^{2} d x - \int_{- 7}^{2} 3 x d x

\int_{- 7}^{2} x^{2} d x = 117

\int_{- 7}^{2} 3 x d x = - \frac{135}{2}

= - 117 - (- \frac{135}{2})

Vereinfache

- 117 - (- \frac{135}{2}) : - \frac{99}{2}

= - \frac{99}{2}

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

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\int_{0}^{l n (2)} e^{- 2 y} d y

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