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Beliebt Rechnen >

integral of 7e^t-e^3

Lösung

\int 7 e^{t} - e^{3} d t

Lösung

7 e^{t} - e^{3} t + C

Schritte zur Lösung

\int 7 e^{t} - e^{3} 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 7 e^{t} d t - \int e^{3} d t

\int 7 e^{t} d t = 7 e^{t}

\int e^{3} d t = e^{3} t

= 7 e^{t} - e^{3} t

Füge eine Konstante zur Lösung hinzu

= 7 e^{t} - e^{3} t + C

Graph

Beliebte Beispiele

integral of (x^3+x^2+8x+7)/(6-x^2-x^4)

\int \frac{x ^{3} + x ^{2} + 8 x + 7}{6 - x ^{2} - x ^{4}} d x

integral of (3/10)

\int (\frac{3}{10}) d t

integral of (11)/(sec(x)-1)

\int \frac{11}{sec ( x ) - 1} d x

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\int \frac{2 x - 1}{( x + 4 ) ( x ^{2} - 1 )} d x

integral of (1+3x)^4

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