integral from 0 to pi of cos(x)(x)

Lösung

\int_{0}^{π} cos (x) (x) d x

- 2

Schritte zur Lösung

\int_{0}^{π} cos (x) x d x

Wende die partielle Integration an

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

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

= [x sin (x) - (- cos (x))]_{0}^{π}

Vereinfache

= [x sin (x) + cos (x)]_{0}^{π}

Berechne die Grenzen:

- 2

= - 2

\int_{0}^{10} c (10 x - x^{2}) d x

\int_{- 2}^{3} x^{3} - 7 x + 2 d x

\int_{- 1}^{1} (3 x + 2) d x

\int_{0}^{π} x^{3} sin (3 x) d x

\int_{1}^{4} (- 3 x) d x