integral from 0 to 1 of 6pix^2

Lösung

\int_{0}^{1} 6 π x^{2} d x

2 π

Dezimale

6.28318 \dots

Schritte zur Lösung

\int_{0}^{1} 6 π x^{2} d x

Entferne die Konstante:

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

= 6 π \cdot \int_{0}^{1} x^{2} d x

Wende die Potenzregel an

= 6 π [\frac{x ^{3}}{3}]_{0}^{1}

Berechne die Grenzen:

\frac{1}{3}

= 6 π \frac{1}{3}

Vereinfache

= 2 π

\int_{0}^{\frac{1}{2}} 2 x + 3 - x e^{3 x} d x

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\int_{2 x^{2}}^{1 + x^{2}} (x + 2 y) d y

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