integral of 2cos(x)-2sin(x)

Lösung

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

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

Schritte zur Lösung

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

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

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

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

Vereinfache

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

Füge eine Konstante zur Lösung hinzu

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

\int - 2 x cos (8 x) d x

in v erse l a pl a ce \frac{5}{s ( 4 s ^{2} + 4 s + 1 )}

x \to 3 lim (- x 6 x - 8)

\int_{- \infty}^{1} 3^{x} d x

\frac{d}{d x} (3 π^{8})