integral from 0 to 1 of cos(pi)t

Lösung

\int_{0}^{1} cos (π) t d t

- \frac{1}{2}

Dezimale

- 0.5

Schritte zur Lösung

\int_{0}^{1} cos (π) t d t

Entferne die Konstante:

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

= cos (π) \cdot \int_{0}^{1} t d t

cos (π) = - 1

= (- 1) \cdot \int_{0}^{1} t d t

Wende die Potenzregel an

= (- 1) [\frac{t ^{2}}{2}]_{0}^{1}

Vereinfache

= - [\frac{t ^{2}}{2}]_{0}^{1}

Berechne die Grenzen:

\frac{1}{2}

= - \frac{1}{2}

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