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Beliebt Rechnen >

integral of (1+y+e^y)

Lösung

\int (1 + y + e^{y}) d y

Lösung

y + \frac{y ^{2}}{2} + e^{y} + C

Schritte zur Lösung

\int 1 + y + 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 1 d y + \int y d y + \int e^{y} d y

\int 1 d y = y

\int y d y = \frac{y ^{2}}{2}

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

= y + \frac{y ^{2}}{2} + e^{y}

Füge eine Konstante zur Lösung hinzu

= y + \frac{y ^{2}}{2} + e^{y} + C

Graph

Beliebte Beispiele

integral of x^2sin(2x+5)

\int x^{2} sin (2 x + 5) d x

integral of (1+x)/(1-x^3)

\int \frac{1 + x}{1 - x ^{3}} d x

integral of xsin(yx)

\int x sin (y x) d x

integral of sin^2(x)sec(x)

\int sin^{2} (x) sec (x) d x

integral of (2x+3)/(4x+5)

\int \frac{2 x + 3}{4 x + 5} d x