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Beliebt Rechnen >

integral from-pi to 0 of sin(x)+x

Lösung

\int_{- π}^{0} sin (x) + x d x

Lösung

- 2 - \frac{π ^{2}}{2}

+1

Dezimale

- 6.93480 \dots

Schritte zur Lösung

\int_{- π}^{0} sin (x) + x d x

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

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

\int_{- π}^{0} sin (x) d x = - 2

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

= - 2 - \frac{π ^{2}}{2}

Graph

Beliebte Beispiele

derivative of e^{6x}cos(bx)

\frac{d}{d x} (e^{6 x} cos (b x))

derivative (x+y)^2-4x+y+10

d er i v a t i v e (x + y)^{2} - 4 x + y + 10

integral from 0 to pi of 2cos^2(pi/2)

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

integral of 2/7 x^2+1

\int \frac{2}{7} x^{2} + 1 d x

tangent f(x)=3x^2,(-1,3)

t an g e n t f (x) = 3 x^{2}, (- 1, 3)