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Beliebt Rechnen >

integral of 7cos(x)-4/(sqrt(1-x^2))

Lösung

\int 7 cos (x) - \frac{4}{1 - x ^{2}} d x

Lösung

7 sin (x) - 4 arcsin (x) + C

Schritte zur Lösung

\int 7 cos (x) - \frac{4}{1 - x ^{2}} 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 7 cos (x) d x - \int \frac{4}{1 - x ^{2}} d x

\int 7 cos (x) d x = 7 sin (x)

\int \frac{4}{1 - x ^{2}} d x = 4 arcsin (x)

= 7 sin (x) - 4 arcsin (x)

Füge eine Konstante zur Lösung hinzu

= 7 sin (x) - 4 arcsin (x) + C

Graph

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