integral of 3+sin(x)

Lösung

\int 3 + sin (x) d x

3 x - cos (x) + C

Schritte zur Lösung

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

\int 3 d x = 3 x

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

= 3 x - cos (x)

Füge eine Konstante zur Lösung hinzu

= 3 x - cos (x) + C

\int sec (x) (5 sec (x) + 9 tan (x)) d x

\int \frac{x + 1}{1 - x} d x

\int sec^{4} (x) \cdot tan^{3} (x) d x

\int t^{\frac{3}{2}} (t^{2} - 10 t + 16) d t

\int \frac{( ln ^{7} ( x ) )}{x} d x