integral from 0 to pi of 7sin(x)

Lösung

\int_{0}^{π} 7 sin (x) d x

14

Schritte zur Lösung

\int_{0}^{π} 7 sin (x) d x

Entferne die Konstante:

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

= 7 \cdot \int_{0}^{π} sin (x) d x

Nutze das gemeinsame Integral :

\int sin (x) d x = - cos (x)

= 7 [- cos (x)]_{0}^{π}

Berechne die Grenzen:

2

= 7 \cdot 2

Vereinfache

= 14

\int_{1}^{7} x^{2} - 2 x - 24 d x

\int_{0}^{2 π} sin^{6} (x) d x

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\int_{3}^{4} \frac{1}{x} d x

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