integral from-pi/2 to pi/2 of 1

Lösung

\int_{- \frac{π}{2}}^{\frac{π}{2}} 1

π

Dezimale

3.14159 \dots

Schritte zur Lösung

\int_{- \frac{π}{2}}^{\frac{π}{2}} 1 d x

Integral einer Konstanten :

\int a d x = a x

= [1 \cdot x]_{- \frac{π}{2}}^{\frac{π}{2}}

Vereinfache

= [x]_{- \frac{π}{2}}^{\frac{π}{2}}

Berechne die Grenzen:

π

= π

\int_{1}^{0} x d x

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