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Beliebt Rechnen >

integral of x^3cosh(x)

Lösung

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

Lösung

x^{3} sinh (x) - 3 (x^{2} cosh (x) - 2 (x sinh (x) - cosh (x))) + C

Schritte zur Lösung

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

Wende die partielle Integration an

= x^{3} sinh (x) - \int 3 x^{2} sinh (x) d x

\int 3 x^{2} sinh (x) d x = 3 (x^{2} cosh (x) - 2 (x sinh (x) - cosh (x)))

= x^{3} sinh (x) - 3 (x^{2} cosh (x) - 2 (x sinh (x) - cosh (x)))

Füge eine Konstante zur Lösung hinzu

= x^{3} sinh (x) - 3 (x^{2} cosh (x) - 2 (x sinh (x) - cosh (x))) + C

Graph

Beliebte Beispiele

integral of (3x^3-8x^2+10)/(x(x-1)^3)

\int \frac{3 x ^{3} - 8 x ^{2} + 10}{x ( x - 1 ) ^{3}} d x

(y^2-xy)dx-x^2dy=0

(y^{2} - x y) d x - x^{2} d y = 0

derivative of at

\frac{d}{d x} (a t)

y^{'''}+14y^{''}+49y^'=0

y^{^{'''}} + 14 y^{^{''}} + 49 y^{^{'}} = 0

integral of 19ln(\sqrt[3]{x})

\int 19 ln (3 x) d x