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Beliebt Rechnen >

integral of arcsin^2(x)

Lösung

\int arcsin^{2} (x) d x

Lösung

x arcsin^{2} (x) - 2 (- arcsin (x) 1 - x^{2} + x) + C

Schritte zur Lösung

\int arcsin^{2} (x) d x

Wende die partielle Integration an

= x arcsin^{2} (x) - \int \frac{2 x arcsin ( x )}{1 - x ^{2}} d x

\int \frac{2 x arcsin ( x )}{1 - x ^{2}} d x = 2 (- arcsin (x) 1 - x^{2} + x)

= x arcsin^{2} (x) - 2 (- arcsin (x) 1 - x^{2} + x)

Füge eine Konstante zur Lösung hinzu

= x arcsin^{2} (x) - 2 (- arcsin (x) 1 - x^{2} + x) + C

Graph

Beliebte Beispiele

derivative f(x)=(x^2)/(x-11)

d er i v a t i v e f (x) = \frac{x ^{2}}{x - 11}

derivative sqrt(5x^3+2x^2+3)

d er i v a t i v e 5 x^{3} + 2 x^{2} + 3

limit as x approaches infinity of cox(x)

x \to \infty lim (co x (x))

(\partial)/(\partial s)(-5s^2t)

\frac{\partial}{\partial s} (- 5 s^{2} t)

250y^{''}+8y^'+2y=0

250 y^{^{''}} + 8 y^{^{'}} + 2 y = 0