integral of x^2sinh(x)

Lösung

\int x^{2} sinh (x) d x

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

Schritte zur Lösung

\int x^{2} sinh (x) d x

Wende die partielle Integration an

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

\int 2 x cosh (x) d x = 2 (x sinh (x) - cosh (x))

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

Füge eine Konstante zur Lösung hinzu

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

d er i v a t i v e f (x) = 2 x^{- 2} - 3 x^{- \frac{7}{3}}

\int 3 x x - 5 d x

\frac{\partial}{\partial x} (arcsin (x))

t a y l or x^{2} + 2 x, 1

\frac{\partial}{\partial x} (3 x^{2} y^{2} - 4 y)