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Beliebt Rechnen >

integral of (4cosh(x)+x^5)

Lösung

\int (4 cosh (x) + x^{5}) d x

Lösung

4 sinh (x) + \frac{x ^{6}}{6} + C

Schritte zur Lösung

\int 4 cosh (x) + x^{5} 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^{5} d x

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

\int x^{5} d x = \frac{x ^{6}}{6}

= 4 sinh (x) + \frac{x ^{6}}{6}

Füge eine Konstante zur Lösung hinzu

= 4 sinh (x) + \frac{x ^{6}}{6} + C

Graph

Beliebte Beispiele

integral of sqrt(x^2+z^2)

\int x^{2} + z^{2} d z

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\int - 5 cos (π) x d x

integral of 3(x^5-x^3+1)

\int 3 (x^{5} - x^{3} + 1) d x

integral of 1/(x^α)

\int \frac{1}{x ^{α}} d x

integral of (sin(ln(t)))/t

\int \frac{sin ( ln ( t ) )}{t} d t