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Beliebt Rechnen >

integral of (3x-sin(x))

Lösung

\int (3 x - sin (x)) d x

Lösung

\frac{3 x ^{2}}{2} + cos (x) + C

Schritte zur Lösung

\int 3 x - sin (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 3 x d x - \int sin (x) d x

\int 3 x d x = \frac{3 x ^{2}}{2}

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

= \frac{3 x ^{2}}{2} - (- cos (x))

Vereinfache

= \frac{3 x ^{2}}{2} + cos (x)

Füge eine Konstante zur Lösung hinzu

= \frac{3 x ^{2}}{2} + cos (x) + C

Graph

Beliebte Beispiele

limit as x approaches 7 of (1/x-1/7)/(x-7)

x \to 7 lim (\frac{\frac{1}{x} - \frac{1}{7}}{x - 7})

integral of sin^2((pix)/2)

\int sin^{2} (\frac{π x}{2}) d x

integral of 1-csc(x)cot(x)

\int 1 - csc (x) cot (x) d x

(\partial)/(\partial y)(3xy+e^{-x^2y})

\frac{\partial}{\partial y} (3 x y + e^{- x^{2} y})

derivative of \sqrt[3]{x}-2

\frac{d}{d x} (3 x - 2)