integral from 0 to 5 of (4-x^2)

Lösung

\int_{0}^{5} (4 - x^{2}) d x

- \frac{65}{3}

Dezimale

- 21.66666 \dots

Schritte zur Lösung

\int_{0}^{5} 4 - 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_{0}^{5} 4 d x - \int_{0}^{5} x^{2} d x

\int_{0}^{5} 4 d x = 20

\int_{0}^{5} x^{2} d x = \frac{125}{3}

= 20 - \frac{125}{3}

Vereinfache

20 - \frac{125}{3} : - \frac{65}{3}

= - \frac{65}{3}

\int_{e}^{6} \frac{1}{x ln ( x )} d x

\int_{0}^{1} 4 e^{- 2 x} d x

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\int_{0}^{x} sinh^{2} (t) d t

\int_{0}^{t} e^{- a x} d x