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Beliebt Rechnen >

integral of e^{4x}+xsqrt(x)

Lösung

\int e^{4 x} + x x d x

Lösung

\frac{1}{4} e^{4 x} + \frac{2}{5} x^{\frac{5}{2}} + C

Schritte zur Lösung

\int e^{4 x} + x x 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 e^{4 x} d x + \int x x d x

\int e^{4 x} d x = \frac{1}{4} e^{4 x}

\int x x d x = \frac{2}{5} x^{\frac{5}{2}}

= \frac{1}{4} e^{4 x} + \frac{2}{5} x^{\frac{5}{2}}

Füge eine Konstante zur Lösung hinzu

= \frac{1}{4} e^{4 x} + \frac{2}{5} x^{\frac{5}{2}} + C

Graph

Beliebte Beispiele

integral of (x+x^3)

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

integral of (7sin(x))/(cos^2(x))

\int \frac{7 sin ( x )}{cos ^{2} ( x )} d x

integral of (a-x)sqrt(a+x)

\int (a - x) a + x d x

integral of e^{3x}+5e^{-x}

\int e^{3 x} + 5 e^{- x} d x

integral of (ln(1-x))

\int (ln (1 - x)) d x