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Beliebt Rechnen >

integral of (e^{arcsin(x)})/(sqrt(1-x^2))

Lösung

\int \frac{e ^{a r c s i n (x)}}{1 - x ^{2}} d x

Lösung

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

Schritte zur Lösung

\int \frac{e ^{a r c s i n (x)}}{1 - x ^{2}} 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 = arcsin (x)

ein

= e^{a r c s i n (x)}

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

derivative of (12/(x+2)-3)

\frac{d}{d x} (\frac{12}{x + 2} - 3)

derivative of (x^2-4x/(x+1))

\frac{d}{d x} (\frac{x ^{2} - 4 x}{x + 1})

integral of-(x^2+11x+28)/((x+2)^2)

\int - \frac{x ^{2} + 11 x + 28}{( x + 2 ) ^{2}} d x

derivative of 1/(x^2+5)

\frac{d}{d x} (\frac{1}{x ^{2} + 5})

derivative f(x)=-16t^2

d er i v a t i v e f (x) = - 16 t^{2}