integral of (2sin(x)+3cos(x))

Lösung

\int (2 sin (x) + 3 cos (x)) d x

- 2 cos (x) + 3 sin (x) + C

Schritte zur Lösung

\int 2 sin (x) + 3 cos (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 2 sin (x) d x + \int 3 cos (x) d x

\int 2 sin (x) d x = - 2 cos (x)

\int 3 cos (x) d x = 3 sin (x)

= - 2 cos (x) + 3 sin (x)

Füge eine Konstante zur Lösung hinzu

= - 2 cos (x) + 3 sin (x) + C

\int_{1}^{\infty} \frac{1}{x ^{9}} d x

\frac{d N}{d t} = N (1 - 0.0008 N)

\frac{d}{d x} (7 x (x^{3} - 3 x + 2))

\int x^{2} (x + 3)^{2} d x

a re a y = e^{- x}, y = 0, x = 0, x = ln (5)