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Beliebt Rechnen >

integral of 3x^2+e^y

Lösung

\int 3 x^{2} + e^{y} d y

Lösung

e^{y} + 3 x^{2} y + C

Schritte zur Lösung

\int 3 x^{2} + e^{y} d y

Wende die Summenregel an:

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

= \int e^{y} d y + \int 3 x^{2} d y

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

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

= e^{y} + 3 x^{2} y

Füge eine Konstante zur Lösung hinzu

= e^{y} + 3 x^{2} y + C

Graph

Beliebte Beispiele

sum from n=3 to infinity of (4/11)^{-n}

n = 3 \sum \infty (\frac{4}{11})^{- n}

fläche (x)^{(1/2)},-x^2,0,(1)

a re a (x)^{(\frac{1}{2})}, - x^{2}, 0, (1)

integral of 10xsqrt(x)

\int 10 x x d x

integral of (-1(x-9))/((x+5)(x-2))

\int \frac{- 1 ( x - 9 )}{( x + 5 ) ( x - 2 )} d x

y^{^{'}} + x y = - x^{3}