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Beliebt Rechnen >

integral from 0 to pi of ysin(y)

Lösung

\int_{0}^{π} y sin (y) d y

Lösung

π

+1

Dezimale

3.14159 \dots

Schritte zur Lösung

\int_{0}^{π} y sin (y) d y

Wende die partielle Integration an

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

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

= [- y cos (y) - (- sin (y))]_{0}^{π}

Vereinfache

= [- y cos (y) + sin (y)]_{0}^{π}

Berechne die Grenzen:

π

= π

Graph

Beliebte Beispiele

integral from 0 to 1 of (2-x)

\int_{0}^{1} (2 - x) d x

integral from 1 to 5 of 2x+7

\int_{1}^{5} 2 x + 7 d x

integral from 0 to 18pi of sin(x)

\int_{0}^{18 π} sin (x) d x

integral from 1 to 2 of (x-3)/(x^3+x^2)

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

integral from 0 to t of u

\int_{0}^{t} u d u