integral from 0 to 2 of x-3y^2

Lösung

\int_{0}^{2} x - 3 y^{2} d x

2 - 6 y^{2}

Schritte zur Lösung

\int_{0}^{2} x - 3 y^{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}^{2} x d x - \int_{0}^{2} 3 y^{2} d x

\int_{0}^{2} x d x = 2

\int_{0}^{2} 3 y^{2} d x = 6 y^{2}

= 2 - 6 y^{2}

\int_{- 6}^{- 3} (x - \frac{3}{x ^{2}}) d x

\int_{0}^{4} e^{- s t} d t

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\int_{4}^{16} (y - \frac{y}{4}) d y