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Beliebt Rechnen >

integral of e^t+2t+ln(t)

Lösung

\int e^{t} + 2 t + ln (t) d t

Lösung

e^{t} + t^{2} + t ln (t) - t + C

Schritte zur Lösung

\int e^{t} + 2 t + ln (t) d t

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^{t} d t + \int 2 t d t + \int ln (t) d t

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

\int 2 t d t = t^{2}

\int ln (t) d t = t ln (t) - t

= e^{t} + t^{2} + t ln (t) - t

Füge eine Konstante zur Lösung hinzu

= e^{t} + t^{2} + t ln (t) - t + C

Graph

Beliebte Beispiele

integral of 1/(x^2+2x-8)

\int \frac{1}{x ^{2} + 2 x - 8} d x

derivative of-sin(2x*2)

\frac{d}{d x} (- sin (2 x) \cdot 2)

integral of 1/(x^2*sqrt(5+x^2))

\int \frac{1}{x ^{2} \cdot 5 + x ^{2}} d x

y^{''}-8y^'+18y=0,y(0)=-4,y^'(0)=3

y^{^{''}} - 8 y^{^{'}} + 18 y = 0, y (0) = - 4, y^{^{'}} (0) = 3

integral of ((1-cos(2x)))/2

\int \frac{( 1 - cos ( 2 x ) )}{2} d x