integral from-4 to-3 of x^2-(2x+15)

Lösung

\int_{- 4}^{- 3} x^{2} - (2 x + 15) d x

\frac{13}{3}

Dezimale

4.33333 \dots

Schritte zur Lösung

\int_{- 4}^{- 3} x^{2} - (2 x + 15) d x

Vereinfache

= \int_{- 4}^{- 3} x^{2} - 2 x - 15 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} 2 x d x - \int_{- 4}^{- 3} 15 d x

\int_{- 4}^{- 3} x^{2} d x = \frac{37}{3}

\int_{- 4}^{- 3} 2 x d x = - 7

\int_{- 4}^{- 3} 15 d x = 15

= \frac{37}{3} - (- 7) - 15

Vereinfache

\frac{37}{3} - (- 7) - 15 : \frac{13}{3}

= \frac{13}{3}

\int_{0}^{2} 2 x (x^{2} - 1)^{3} d x

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\int_{0}^{1} 3^{x} e^{x} d x

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