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Beliebt Rechnen >

integral of xcos(x)+cos(x)-1

Lösung

\int x cos (x) + cos (x) - 1 d x

Lösung

x sin (x) + cos (x) + sin (x) - x + C

Schritte zur Lösung

\int x cos (x) + cos (x) - 1 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 x cos (x) d x + \int cos (x) d x - \int 1 d x

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

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

\int 1 d x = x

= x sin (x) + cos (x) + sin (x) - x

Füge eine Konstante zur Lösung hinzu

= x sin (x) + cos (x) + sin (x) - x + C

Graph

Beliebte Beispiele

integral of sqrt(cos^2(x)-sin^2(x))

\int cos^{2} (x) - sin^{2} (x) d x

laplacetransform (t-3)^4

l a pl a ce t r an s f or m (t - 3)^{4}

derivative of e^{2x}+5

\frac{d}{d x} (e^{2 x} + 5)

(2xy^2-7)dx+(2x^2y+5)dy=0

(2 x y^{2} - 7) d x + (2 x^{2} y + 5) d y = 0

derivative of 8e^x+4/(\sqrt[3]{x})

\frac{d}{d x} (8 e^{x} + \frac{4}{3 x})