integral of (cos(x))e^{sin(x)}

Lösung

\int (cos (x)) e^{s i n (x)} d x

e^{s i n (x)} + C

Schritte zur Lösung

\int cos (x) e^{s i n (x)} d x

Wende U-Substitution an

= \int e^{u} d u

Nutze das gemeinsame Integral :

\int e^{u} d u = e^{u}

= e^{u}

Setze in

u = sin (x)

ein

= e^{s i n (x)}

Füge eine Konstante zur Lösung hinzu

= e^{s i n (x)} + C

\frac{d}{d x} (3 sec (x))

\frac{d}{d x} ((\frac{5 ^{x}}{x ^{5}})^{s i n (x^{5})})

x \to - 2 lim (2016)

d er i v a t i v e f (x) = \frac{2 x ^{2} tan ( x )}{sec ( x )}

x \to \frac{1}{2} lim (x^{4})