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Beliebt Rechnen >

integral of-3arcsin(10x)

Lösung

\int - 3 arcsin (10 x) d x

Lösung

- 3 (x arcsin (10 x) + \frac{1}{10} 1 - 100 x^{2}) + C

Schritte zur Lösung

\int - 3 arcsin (10 x) d x

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= - 3 \cdot \int arcsin (10 x) d x

Wende die partielle Integration an

= - 3 (x arcsin (10 x) - \int \frac{10 x}{1 - 100 x ^{2}} d x)

\int \frac{10 x}{1 - 100 x ^{2}} d x = - \frac{1}{10} 1 - 100 x^{2}

= - 3 (x arcsin (10 x) - (- \frac{1}{10} 1 - 100 x^{2}))

Vereinfache

= - 3 (x arcsin (10 x) + \frac{1}{10} 1 - 100 x^{2})

Füge eine Konstante zur Lösung hinzu

= - 3 (x arcsin (10 x) + \frac{1}{10} 1 - 100 x^{2}) + C

Graph

Beliebte Beispiele

slopeintercept (-5,-2),(5,4)

s l o p e in t erce pt (- 5, - 2), (5, 4)

integral of arcsin(x)x

\int arcsin (x) x d x

limit as x approaches-3 of 2x^3+5x^2-25

x \to - 3 lim (2 x^{3} + 5 x^{2} - 25)

y^'=(2y)/x ,y(1)=2

y^{^{'}} = \frac{2 y}{x}, y (1) = 2

integral from 0 to 1 of x/(e^{2x)}

\int_{0}^{1} \frac{x}{e ^{2 x}} d x