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Beliebt Rechnen >

integral of 4cosh(x)+x^3

Lösung

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

Lösung

4 sinh (x) + \frac{x ^{4}}{4} + C

Schritte zur Lösung

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

\int 4 cosh (x) d x = 4 sinh (x)

\int x^{3} d x = \frac{x ^{4}}{4}

= 4 sinh (x) + \frac{x ^{4}}{4}

Füge eine Konstante zur Lösung hinzu

= 4 sinh (x) + \frac{x ^{4}}{4} + C

Graph

Beliebte Beispiele

integral of 1/(x^2sqrt(11-x^2))

\int \frac{1}{x ^{2} 11 - x ^{2}} d x

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

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

integral of (x^2-5x+6)

\int (x^{2} - 5 x + 6) d x

integral of xsec^2(x^2+7)

\int x sec^{2} (x^{2} + 7) d x

integral of 2/(2+x)

\int \frac{2}{2 + x} d x