integral from 1 to 3 of 2x-x^2

Lösung

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

- \frac{2}{3}

Dezimale

- 0.66666 \dots

Schritte zur Lösung

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

\int_{1}^{3} 2 x d x = 8

\int_{1}^{3} x^{2} d x = \frac{26}{3}

= 8 - \frac{26}{3}

Vereinfache

8 - \frac{26}{3} : - \frac{2}{3}

= - \frac{2}{3}

\int_{0}^{0.5} 4 x d x

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\int_{1}^{\infty} \frac{x}{2 ^{x}} d x

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