integral from 0 to pi of sin(x)x

Lösung

\int_{0}^{π} sin (x) x d x

π

Dezimale

3.14159 \dots

Schritte zur Lösung

\int_{0}^{π} sin (x) x d x

Wende die partielle Integration an

= [- x cos (x) - \int - cos (x) d x]_{0}^{π}

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

= [- x cos (x) - (- sin (x))]_{0}^{π}

Vereinfache

= [- x cos (x) + sin (x)]_{0}^{π}

Berechne die Grenzen:

π

= π

\int_{0}^{1} 8 8 x d x

\int_{0}^{1} \frac{1}{4 x + 1} d x

\int_{- \frac{π}{6}}^{0} tan (x) d x

\int_{4}^{7} 3 + 2 ln (x + 5) d x

\int_{0}^{2 π} cos (x) sin^{3} (x) d x