integral of w^2sin(10w)

Lösung

\int w^{2} sin (10 w) d w

- \frac{1}{10} w^{2} cos (10 w) + \frac{1}{500} (10 w sin (10 w) + cos (10 w)) + C

Schritte zur Lösung

\int w^{2} sin (10 w) d w

Wende die partielle Integration an

= - \frac{1}{10} w^{2} cos (10 w) - \int - \frac{1}{5} w cos (10 w) d w

\int - \frac{1}{5} w cos (10 w) d w = - \frac{1}{500} (10 w sin (10 w) + cos (10 w))

= - \frac{1}{10} w^{2} cos (10 w) - (- \frac{1}{500} (10 w sin (10 w) + cos (10 w)))

Vereinfache

= - \frac{1}{10} w^{2} cos (10 w) + \frac{1}{500} (10 w sin (10 w) + cos (10 w))

Füge eine Konstante zur Lösung hinzu

= - \frac{1}{10} w^{2} cos (10 w) + \frac{1}{500} (10 w sin (10 w) + cos (10 w)) + C

\frac{d}{d x} (2 cos (x) - x sin (x))

y^{^{''}} - 5 y^{^{'}} + 6 y = - sin (5 t)

im pl i c i t \frac{d y}{d x}, \frac{6 x}{y ^{7}} = 4

\frac{\partial}{\partial t} (e^{t} cos (x))

l a pl a ce t r an s f or m 20 t e^{- 2 t} \cdot sin (4 t)