integral from-pi to pi of |t|

Lösung

\int_{- π}^{π} ∣ t ∣ d t

π^{2}

Dezimale

9.86960 \dots

Schritte zur Lösung

\int_{- π}^{π} ∣ t ∣ d t

Entferne die Extremwerte

= \int_{- π}^{0} - t d t + \int_{0}^{π} t d t

\int_{- π}^{0} - t d t = \frac{π ^{2}}{2}

\int_{0}^{π} t d t = \frac{π ^{2}}{2}

= \frac{π ^{2}}{2} + \frac{π ^{2}}{2}

Vereinfache

\frac{π ^{2}}{2} + \frac{π ^{2}}{2} : π^{2}

= π^{2}

\int_{0}^{y} x^{2} + y^{2} d x

\int_{0}^{x} 4 + t^{6} d x

\int_{0}^{1} 1 + 8 t^{2} d t

\int_{0}^{1} π (y - y^{2})^{2} d y

\int_{2}^{33} \frac{1}{x} d x