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Beliebt Rechnen >

integral of (2sin(x)-pi/4 x)

Lösung

\int (2 sin (x) - \frac{π}{4} x) d x

Lösung

- 2 cos (x) - \frac{π x ^{2}}{8} + C

Schritte zur Lösung

\int 2 sin (x) - \frac{π}{4} 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 2 sin (x) d x - \int \frac{π}{4} x d x

\int 2 sin (x) d x = - 2 cos (x)

\int \frac{π}{4} x d x = \frac{π x ^{2}}{8}

= - 2 cos (x) - \frac{π x ^{2}}{8}

Füge eine Konstante zur Lösung hinzu

= - 2 cos (x) - \frac{π x ^{2}}{8} + C

Graph

Beliebte Beispiele

derivative of ln(x/x)

\frac{d}{d x} (ln (\frac{x}{x}))

d/(dt)(acos^3(t))

\frac{d}{d t} (a cos^{3} (t))

tangent f(x)=sqrt(x^2+21),\at x=2

t an g e n t f (x) = x^{2} + 21, at x = 2

(\partial)/(\partial z)(x^2+y^2)

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

(dy}{dx}=\frac{-2x)/y

\frac{d y}{d x} = \frac{- 2 x}{y}