integral of x^3sin(x)

Lösung

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

- x^{3} cos (x) + 3 (x^{2} sin (x) - 2 (- x cos (x) + sin (x))) + C

Schritte zur Lösung

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

Wende die partielle Integration an

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

\int - 3 x^{2} cos (x) d x = - 3 (x^{2} sin (x) - 2 (- x cos (x) + sin (x)))

= - x^{3} cos (x) - (- 3 (x^{2} sin (x) - 2 (- x cos (x) + sin (x))))

Vereinfache

= - x^{3} cos (x) + 3 (x^{2} sin (x) - 2 (- x cos (x) + sin (x)))

Füge eine Konstante zur Lösung hinzu

= - x^{3} cos (x) + 3 (x^{2} sin (x) - 2 (- x cos (x) + sin (x))) + C

\frac{\partial}{\partial t} (t^{4} e^{- x})

t a y l or \frac{2}{1 - 2 x}

x \to 4 lim (\frac{x - 5}{x + 1})

\frac{\partial}{\partial x} ((2 x - 1)^{3})

9 y^{^{''}} + 6 y = 0