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Beliebt Rechnen >

integral of ycos(x)+2xe^y

Lösung

\int y cos (x) + 2 x e^{y} d x

Lösung

y sin (x) + e^{y} x^{2} + C

Schritte zur Lösung

\int y cos (x) + 2 x e^{y} 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 cos (x) y d x + \int 2 e^{y} x d x

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

\int 2 e^{y} x d x = e^{y} x^{2}

= y sin (x) + e^{y} x^{2}

Füge eine Konstante zur Lösung hinzu

= y sin (x) + e^{y} x^{2} + C

Graph

Beliebte Beispiele

integral of sin(2x)sqrt(2-3sin^2(x))

\int sin (2 x) 2 - 3 sin^{2} (x) d x

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\int 3.5 x d x

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\int (1 + x^{3})^{4} d x

integral of sqrt(10+x^2)

\int 10 + x^{2} d x

integral of x^7+1/(x^9)

\int x^{7} + \frac{1}{x ^{9}} d x