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Beliebt Rechnen >

integral of sec(x)tan(x)+1/(sqrt(1-x^2))

Lösung

\int sec (x) tan (x) + \frac{1}{1 - x ^{2}} d x

Lösung

sec (x) + arcsin (x) + C

Schritte zur Lösung

\int sec (x) tan (x) + \frac{1}{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 sec (x) tan (x) d x + \int \frac{1}{1 - x ^{2}} d x

\int sec (x) tan (x) d x = sec (x)

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

= sec (x) + arcsin (x)

Füge eine Konstante zur Lösung hinzu

= sec (x) + arcsin (x) + C

Graph

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\int 11 cos (11 x) sin (11 x) d x

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\int \frac{1}{θ} e^{- \frac{x}{θ}} d x

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\int \frac{3 x + 5}{x ^{2} + 4 x + 13} d x