integral of 4sin(5x)+5cos(3x)

Lösung

\int 4 sin (5 x) + 5 cos (3 x) d x

- \frac{4}{5} cos (5 x) + \frac{5}{3} sin (3 x) + C

Schritte zur Lösung

\int 4 sin (5 x) + 5 cos (3 x) 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 sin (5 x) d x + \int 5 cos (3 x) d x

\int 4 sin (5 x) d x = - \frac{4}{5} cos (5 x)

\int 5 cos (3 x) d x = \frac{5}{3} sin (3 x)

= - \frac{4}{5} cos (5 x) + \frac{5}{3} sin (3 x)

Füge eine Konstante zur Lösung hinzu

= - \frac{4}{5} cos (5 x) + \frac{5}{3} sin (3 x) + C

\frac{d y}{d t} = 2 y - t

\frac{d}{d x} ((1 + x^{2})^{5})

d er i v a t i v e \frac{- 11}{3 x}

\frac{d}{d x} (sin (2 x) \cdot 2)

\frac{d}{d x} (a e^{v} + \frac{b}{v} + \frac{c}{v ^{2}})