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Beliebt Rechnen >

integral from-2 to 3 of (4x^2+8)-(3x+2)

Lösung

\int_{- 2}^{3} (4 x^{2} + 8) - (3 x + 2) d x

Lösung

\frac{415}{6}

+1

Dezimale

69.16666 \dots

Schritte zur Lösung

\int_{- 2}^{3} 4 x^{2} + 8 - (3 x + 2) d x

Vereinfache

= \int_{- 2}^{3} 4 x^{2} - 3 x + 6 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_{- 2}^{3} 4 x^{2} d x - \int_{- 2}^{3} 3 x d x + \int_{- 2}^{3} 6 d x

\int_{- 2}^{3} 4 x^{2} d x = \frac{140}{3}

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

\int_{- 2}^{3} 6 d x = 30

= \frac{140}{3} - \frac{15}{2} + 30

Vereinfache

\frac{140}{3} - \frac{15}{2} + 30 : \frac{415}{6}

= \frac{415}{6}

Graph

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