integral from 0 to 2 of (3x)/4

Lösung

\int_{0}^{2} \frac{3 x}{4} d x

\frac{3}{2}

Dezimale

1.5

Schritte zur Lösung

\int_{0}^{2} \frac{3 x}{4} d x

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= \frac{3}{4} \cdot \int_{0}^{2} x d x

Wende die Potenzregel an

= \frac{3}{4} [\frac{x ^{2}}{2}]_{0}^{2}

Berechne die Grenzen:

2

= \frac{3}{4} \cdot 2

Vereinfache

= \frac{3}{2}

\int_{- 4}^{- 1} (x^{3} + 2 x^{2} + 1) d x

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\int_{0}^{1} (x^{2} + 1)^{5} x^{3} d x

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\int_{0}^{1} \frac{x}{4 - x ^{4}} d x