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Beliebt Rechnen >

integral from-pi/2 to pi of xsin(|x|)

Lösung

\int_{- \frac{π}{2}}^{π} x sin (∣ x ∣) d x

Lösung

- 1 + π

+1

Dezimale

2.14159 \dots

Schritte zur Lösung

\int_{- \frac{π}{2}}^{π} x sin (∣ x ∣) d x

Entferne die Extremwerte

= \int_{- \frac{π}{2}}^{0} x sin (- x) d x + \int_{0}^{π} x sin (x) d x

\int_{- \frac{π}{2}}^{0} x sin (- x) d x = - 1

\int_{0}^{π} x sin (x) d x = π

= - 1 + π

Graph

Beliebte Beispiele

limit as x approaches infinity of 4cos(x)

x \to \infty lim (4 cos (x))

(\partial)/(\partial x)(2xy+2x)

\frac{\partial}{\partial x} (2 x y + 2 x)

(dy)/(dx)=y-x,y(0)= 2/3

\frac{d y}{d x} = y - x, y (0) = \frac{2}{3}

(\partial)/(\partial y)(4xy)

\frac{\partial}{\partial y} (4 x y)

derivative of 1/(3+x^2)

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