integral of (3cos(x)+8sin(x))

Lösung

\int (3 cos (x) + 8 sin (x)) d x

3 sin (x) - 8 cos (x) + C

Schritte zur Lösung

\int 3 cos (x) + 8 sin (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 3 cos (x) d x + \int 8 sin (x) d x

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

\int 8 sin (x) d x = - 8 cos (x)

= 3 sin (x) - 8 cos (x)

Füge eine Konstante zur Lösung hinzu

= 3 sin (x) - 8 cos (x) + C

\int \frac{2 ^{x - 1} - 5 ^{x - 1}}{1 0 ^{x}} d x

\int 5 x sin (5 x) d x

\int 7 x^{3} d x

\int \frac{1 - 2 x}{x ^{2} + 9 x + 14} d x

\int \frac{3 x}{x} d x